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Paper Citation Record · LEDGER

Homological dimensions of Banach spaces

As of 16 August 2026, this Paper Citation Record lists 57 of 57 outbound references and 0 inbound Pith citation observations for arXiv:1908.06526.

A citation records a reference. It does not transfer a finding from one paper to another.

pith.paper-citation-record.v1
1908.06526 v2

Coverage vector

measured 57 of 57 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T12:52:25.640347Z

measured 57 of 57 standing notices

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Source: scholarly_work_events, retraction_status_cache, observed 2026-08-16T06:30:59.297886+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

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measured 0 of 1 external citation measurements

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Source: cited_works

Reference resolution

57 of 57 outbound references displayed

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  • verified fuzzy43
  • unresolved14
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External citation measurements

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Outbound references

Observation 54e46d68-dbef-4d60-9a9a-94900c5eda12 · outbound

This paper cites Albiac, N.

Homological dimensions of Banach spaces Albiac, N

Reference 1

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Observation 5d762221-5e20-4b1b-be7b-fa91aefa77a0 · outbound

This paper cites Avil´ es, F.

Homological dimensions of Banach spaces Avil´ es, F

Reference 2

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Observation 76f1ddcf-e65c-4f39-8e10-29d7b6656327 · outbound

This paper cites Aviles, F.

Homological dimensions of Banach spaces Aviles, F

Reference 3

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Observation 3a795038-a007-4ef7-8353-a2cd1dfe529e · outbound

This paper cites Bourgain, A counterexample to a complementation problem , Compo.

Homological dimensions of Banach spaces Bourgain, A counterexample to a complementation problem , Compo

Reference 4

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Observation 51388e37-7b53-4c81-a254-66b0854e4caf · outbound

This paper cites Cabello S´ anchez and J.M.F.

Homological dimensions of Banach spaces Cabello S´ anchez and J.M.F

Reference 5

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Observation 0f169f1f-d12b-4c1a-a78d-748e635c4d0b · outbound

This paper cites Cabello S´ anchez and J.M.F.

Homological dimensions of Banach spaces Cabello S´ anchez and J.M.F

Reference 6

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Observation b1b9a377-c835-44a4-b24a-fd197a968367 · outbound

This paper cites Cabello, J.M.F.

Homological dimensions of Banach spaces Cabello, J.M.F

Reference 7

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Observation 7b448d7d-5866-4a5a-8621-165a0a5e7ce4 · outbound

This paper cites Cabello, Jes´ us M.

Homological dimensions of Banach spaces Cabello, Jes´ us M

Reference 8

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source=pdf_text observed=2026-08-14T12:52:25.435353Z digest=sha256:eacadd65b803c55a05ffc81bf829e7ae3409ad18fad055a592b95d9e66b04951

Observation 77ab01e7-c7f5-4a09-b2f4-6c3ffa8d6d4c · outbound

This paper cites Castillo, Nonseparable C(K)-spaces can be twisted when K is a finite hei ght compact, Topology and its Applications, 198 (2016) 107–116.

Homological dimensions of Banach spaces Castillo, Nonseparable C(K)-spaces can be twisted when K is a finite hei ght compact, Topology and its Applications, 198 (2016) 107–116

Reference 9

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Observation cf87e76d-493a-45a0-898b-5e7d06a36a69 · outbound

This paper cites Castillo and R Garc´ ıa,Bilinear forms and the Ext2-problem in Banach spaces, Linear Algebra and its Applications, 566 (2019) 199–211.

Homological dimensions of Banach spaces Castillo and R Garc´ ıa,Bilinear forms and the Ext2-problem in Banach spaces, Linear Algebra and its Applications, 566 (2019) 199–211

Reference 10

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Observation a2c17d77-dadb-4e65-8940-7422add4caaa · outbound

This paper cites Castillo and M.

Homological dimensions of Banach spaces Castillo and M

Reference 11

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Observation 6f8d46d3-9026-4b02-9ecb-c64324b1b3ae · outbound

This paper cites Castillo, Y.

Homological dimensions of Banach spaces Castillo, Y

Reference 12

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Observation 5b17c7fe-fd12-4288-b782-02d3c889c7d0 · outbound

This paper cites an unresolved cited work.

Homological dimensions of Banach spaces Unresolved cited work

Reference 13

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Observation fa153901-43ae-46de-ba2a-678dd652f854 · outbound

This paper cites an unresolved cited work.

Homological dimensions of Banach spaces Unresolved cited work

Reference 14

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Observation e705aa52-e4a3-4437-927f-cb15d41dbc15 · outbound

This paper cites an unresolved cited work.

Homological dimensions of Banach spaces Unresolved cited work

Reference 15

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source=pdf_text observed=2026-08-14T12:52:25.465477Z digest=sha256:c7be69d5fcbd2b0f0703e5b4fc4380e533002b7355e374e296e071039075905b

Observation e29208c8-7c28-4480-ae81-71b3512ce6bc · outbound

This paper cites Dierolf, ¨Uber Vererbbarkeitseigenschaften in topologischen Vekto rr¨ aumen, Dissertation, Ludwing -Maximilians -Universit¨ at, M¨ unchen, 1973.

Homological dimensions of Banach spaces Dierolf, ¨Uber Vererbbarkeitseigenschaften in topologischen Vekto rr¨ aumen, Dissertation, Ludwing -Maximilians -Universit¨ at, M¨ unchen, 1973

Reference 16

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Observation 7e526cc3-efb0-436c-b27b-0b1c47607f46 · outbound

This paper cites Diestel, H.

Homological dimensions of Banach spaces Diestel, H

Reference 17

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Observation a66a13d1-e79e-4942-96fd-b05f2f314336 · outbound

This paper cites Diestel, J.J.

Homological dimensions of Banach spaces Diestel, J.J

Reference 18

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Observation 8fc493a9-7dcf-428d-a5d3-79af27ec6dd4 · outbound

This paper cites an unresolved cited work.

Homological dimensions of Banach spaces Unresolved cited work

Reference 19

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Observation b977aca7-8bae-40c1-8915-1dc17d8cb62b · outbound

This paper cites Frerick, D.

Homological dimensions of Banach spaces Frerick, D

Reference 20

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Observation dad047d8-d4fb-44ed-a0e3-3222717e75f0 · outbound

This paper cites Gelfand, Yu I.

Homological dimensions of Banach spaces Gelfand, Yu I

Reference 21

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Observation bd256f0e-0220-46af-aa93-1ec51fa06b30 · outbound

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Homological dimensions of Banach spaces Unresolved cited work

Reference 22

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Observation e862be31-d0f5-4c79-91e3-42ab6b67c859 · outbound

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Homological dimensions of Banach spaces Unresolved cited work

Reference 23

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Observation cea03133-6778-4292-b488-99620b44219f · outbound

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Homological dimensions of Banach spaces Unresolved cited work

Reference 24

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Observation e9d996ec-a56f-4ee2-99dd-64ac682754ef · outbound

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Homological dimensions of Banach spaces Unresolved cited work

Reference 25

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Observation 14e8d5e7-6fa9-47e2-b127-241f22e3ccff · outbound

This paper cites I: Kadets, On complementably universal Banach spaces , Studia Math.

Homological dimensions of Banach spaces I: Kadets, On complementably universal Banach spaces , Studia Math

Reference 26

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Observation 3bf9b1ce-91a1-470b-a8b1-bff7ee3b3cf4 · outbound

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Homological dimensions of Banach spaces Unresolved cited work

Reference 27

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Observation a7c01782-dab2-4ff4-9ceb-fc8322304a9d · outbound

This paper cites Kalton, Nonlinear commutators in interpolation theory , Memoirs of the A.M.S.

Homological dimensions of Banach spaces Kalton, Nonlinear commutators in interpolation theory , Memoirs of the A.M.S

Reference 28

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Observation 48859ec5-2da6-4f5a-8ab7-018e559ff1d5 · outbound

This paper cites an unresolved cited work.

Homological dimensions of Banach spaces Unresolved cited work

Reference 29

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Observation ed72c816-2cf0-4092-9a24-a55b7476fc0e · outbound

This paper cites Kalton and N.

Homological dimensions of Banach spaces Kalton and N

Reference 30

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Observation ebdcf602-70e5-420b-bceb-d0c77d30a0ef · outbound

This paper cites Kalton, A.

Homological dimensions of Banach spaces Kalton, A

Reference 31

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Observation e5a4579d-4f2d-453e-bc43-e50fbb925492 · outbound

This paper cites an unresolved cited work.

Homological dimensions of Banach spaces Unresolved cited work

Reference 32

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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:52:25.535432Z digest=sha256:a37cd893401f150f909613850ad6f63246cd728937a2f738e808a1f7cc7473af

Observation bbbe281b-1926-4c9f-958a-099778ba3bb2 · outbound

This paper cites Kalton, N.T.

Homological dimensions of Banach spaces Kalton, N.T

Reference 33

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source=pdf_text observed=2026-08-14T12:52:25.539429Z digest=sha256:a957f0f278acbac8e9e963cbcb88f1ac38344f5068eeedcea6bc3e7d87feddcd

Observation 46b27d69-f44c-4c68-b3a8-77a2134d374e · outbound

This paper cites K¨ othe,Hebbare Lokalkonvexe R¨ aume, Math.

Homological dimensions of Banach spaces K¨ othe,Hebbare Lokalkonvexe R¨ aume, Math

Reference 34

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source=pdf_text observed=2026-08-14T12:52:25.543224Z digest=sha256:aae38b1bad651aa817bb9f6599e8ce676de4c859921c034f0733146ba1f243df

Observation 05697568-4073-451f-a62c-0efba3138ea4 · outbound

This paper cites Lindenstrauss, On a certain subspace of ℓ1, Bull.

Homological dimensions of Banach spaces Lindenstrauss, On a certain subspace of ℓ1, Bull

Reference 35

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source=pdf_text observed=2026-08-14T12:52:25.547904Z digest=sha256:e26409912267d2cee57d8b2f51f18c2c8f31a233bf1f67b557db4a2993867d04

Observation 8c635f55-cdbd-4b5f-bd8f-480de0d76fb7 · outbound

This paper cites Lindenstrauss, A remark on L1-spaces, Israel Journal of Mathematics 8 (1970) 80–82.

Homological dimensions of Banach spaces Lindenstrauss, A remark on L1-spaces, Israel Journal of Mathematics 8 (1970) 80–82

Reference 36

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source=pdf_text observed=2026-08-14T12:52:25.552362Z digest=sha256:3d880bfb94c79d417e050783fee983d144eb7d01414f392edd75b53b3e429ce8

Observation 44670368-a710-4dd7-bc09-3aaf777bd4c0 · outbound

This paper cites Lindenstrauss and H.

Homological dimensions of Banach spaces Lindenstrauss and H

Reference 37

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:52:25.909347Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:52:25.556401Z digest=sha256:747bc112776580f0025b23c51adca86c80eada83f355bc277fd77380cd3c962d

Observation 6d6ce53a-3da6-47ed-8887-c34ef777f69a · outbound

This paper cites Lindenstrauss and H.P.

Homological dimensions of Banach spaces Lindenstrauss and H.P

Reference 38

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:52:25.899125Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:52:25.560390Z digest=sha256:90c51bded4e507053c330f2e4efd803c443b83fecc6ba5d8c3300b55ada2ac2b

Observation d8015e0a-b518-4649-96c9-81548444c8a8 · outbound

This paper cites Lusky, A note on Banach spaces containing c0 or C∞ , J.

Homological dimensions of Banach spaces Lusky, A note on Banach spaces containing c0 or C∞ , J

Reference 39

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:52:25.888319Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:52:25.564101Z digest=sha256:ae8dad5629f7b8c6a475ab3a5a41aef49905449e0bfc8f6194347e353ffe42db

Observation 3a4ea202-9ad4-4ee7-a32d-dc561ead468b · outbound

This paper cites MacLane, Homology, Grund.

Homological dimensions of Banach spaces MacLane, Homology, Grund

Reference 40

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:52:25.877319Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:52:25.568020Z digest=sha256:8fbf45ae333e5e7746aa2a47c330b562741c5b9f52f2e8e83fc3445de8660b4e

Observation 36ae93cd-792b-4d67-b1da-bb8e9b9fdd1c · outbound

This paper cites Marciszewski, G.

Homological dimensions of Banach spaces Marciszewski, G

Reference 41

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:52:25.866389Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:52:25.571687Z digest=sha256:d4c65d8802c02a774949810b8340e08c676208b71a4130871a5d537d4c8d2ff9

Observation f58ef5b2-d0d9-4727-8df7-cae633fec936 · outbound

This paper cites Mitchell, Theory of categories, New York: Acad.

Homological dimensions of Banach spaces Mitchell, Theory of categories, New York: Acad

Reference 42

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:52:25.855239Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:52:25.575358Z digest=sha256:4f194a1a4b96da5fec0e99431e67d69a93da6b522fb08e1c73ce70a63969d0ed

Observation 96d72518-a0ce-4bed-a406-fb126b691d41 · outbound

This paper cites Palamodov, The projective limit functor in the category of topological linear spaces, (Rus- sian) Mat.

Homological dimensions of Banach spaces Palamodov, The projective limit functor in the category of topological linear spaces, (Rus- sian) Mat

Reference 43

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:52:25.844079Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:52:25.579095Z digest=sha256:eaac0f4b08969ddc2766851e77d77d9bfb600d0f327dacdf8fcda51dc21408f9

Observation e4ddf36e-ff43-427a-8a79-7d5df3332edc · outbound

This paper cites Palamodov, Homolgical methods in the theory of locally convex spaces.

Homological dimensions of Banach spaces Palamodov, Homolgical methods in the theory of locally convex spaces

Reference 44

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:52:25.832916Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:52:25.582830Z digest=sha256:1bee2e425e088e4c779138cec2b1c0b7f305436e9584c4c06292d31e58cc66b0

Observation 37136f67-eaef-4985-a707-e8bec271c754 · outbound

This paper cites Ribe, Examples for the nonlocally convex three-space problem , Proc.

Homological dimensions of Banach spaces Ribe, Examples for the nonlocally convex three-space problem , Proc

Reference 45

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:52:25.820914Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:52:25.587123Z digest=sha256:b04c88440cea6a6e87b3f229e2250ffbae0a1d6796e3531cf6b8e1165afbe105

Observation eadd1c78-53be-4226-abe0-0aec04bc14f2 · outbound

This paper cites Pe/suppress lczy´ nski,Universal bases, Studia Math.

Homological dimensions of Banach spaces Pe/suppress lczy´ nski,Universal bases, Studia Math

Reference 46

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:52:25.809466Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:52:25.590698Z digest=sha256:134b8c7d4572b04caa6e248cbbabc6cc23f1d4ad0c7f1433eb22a845365686e0

Observation 767f5e41-8e16-4418-afca-2eb39640513d · outbound

This paper cites Pe/suppress lczy´ nski and P.

Homological dimensions of Banach spaces Pe/suppress lczy´ nski and P

Reference 47

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:52:25.797938Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:52:25.594338Z digest=sha256:b9acac9f0a12045a4f918d9e34da4eeef974fd644d4a82e2be71eb6d6b1613f3

Observation dc98656f-8fb4-4d72-858e-4b321ab1c57c · outbound

This paper cites an unresolved cited work.

Homological dimensions of Banach spaces Unresolved cited work

Reference 48

Resolution
unresolved
raw_fallback, observed 2026-08-14T12:52:25.786417Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:52:25.598422Z digest=sha256:655fb3d66aae905420dddc8795314a0c21fefd4deb786031734c2f263a38a8f6

Observation d5182b30-b1c9-4888-ae9f-1febe74f68de · outbound

This paper cites an unresolved cited work.

Homological dimensions of Banach spaces Unresolved cited work

Reference 49

Resolution
unresolved
raw_fallback, observed 2026-08-14T12:52:25.774942Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:52:25.602370Z digest=sha256:f27460ea1ebc68961b0f7967cefb1bac1778ae3262a3ddf837538fd6ef5b28ff

Observation 20bd5b0c-693a-4f5e-8ac8-5504a3574031 · outbound

This paper cites Smirnov, Chan Khuen, On the functor Ext in the category of linear topological spac es, Math.

Homological dimensions of Banach spaces Smirnov, Chan Khuen, On the functor Ext in the category of linear topological spac es, Math

Reference 50

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:52:25.762946Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:52:25.606722Z digest=sha256:ed06e21e2ebcd73c1c02912ff221a5c36c50f1466524ea2765d4b584185c50b6

Observation 76cd52e2-9ea8-48a2-a74e-8cb896ced09b · outbound

This paper cites Sobczyk, On the extension of linear transformations , Trans.

Homological dimensions of Banach spaces Sobczyk, On the extension of linear transformations , Trans

Reference 51

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:52:25.751029Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:52:25.610650Z digest=sha256:1494c82cded21bf5594e0917f2783c50d9b163c7eec09575e99abba27781ee26

Observation 0b481bb0-c699-46ba-bba8-72b860749299 · outbound

This paper cites an unresolved cited work.

Homological dimensions of Banach spaces Unresolved cited work

Reference 52

Resolution
unresolved
raw_fallback, observed 2026-08-14T12:52:25.737800Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:52:25.614646Z digest=sha256:a14b60a68836aa5fe20392fb9456983c12b518fb57a96f740d1560e9e5aaaadb

Observation 58b0b366-ba9f-499c-8b59-5388b17cce5f · outbound

This paper cites Wengenroth, A conjecture of Palamodov about the functors Extk in the category of locally convex spaces, J.

Homological dimensions of Banach spaces Wengenroth, A conjecture of Palamodov about the functors Extk in the category of locally convex spaces, J

Reference 53

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:52:25.724598Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:52:25.618726Z digest=sha256:22ac2982c81a52b522f061926590787a7789c503495750406eb3ec0874a8c3b5

Observation 73eb5db5-c626-414a-9a10-75fe597043a3 · outbound

This paper cites Wengenroth, Palamodov’s questions from homological methods in the theo ry of locally convex spaces, in: J.M.F.

Homological dimensions of Banach spaces Wengenroth, Palamodov’s questions from homological methods in the theo ry of locally convex spaces, in: J.M.F

Reference 54

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:52:25.712613Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:52:25.622625Z digest=sha256:ec7b1ac897542f250c40b9bc0eb5c7faff825226ff34fd382fa05ccd42c353b8

Observation 40946a59-1caf-4b90-80f9-219b455b7259 · outbound

This paper cites Wengenroth, Derived Functors in Functional Analysis , Lecture Notes in Math.

Homological dimensions of Banach spaces Wengenroth, Derived Functors in Functional Analysis , Lecture Notes in Math

Reference 55

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:52:25.700289Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:52:25.632437Z digest=sha256:ca93e0954eb7c3d745990dc7c73904c1ea3b9635f9b2e1c113e025f538d38fbd

Observation 2948c09a-b810-4aab-b252-db2aced2d5b8 · outbound

This paper cites Wodzicki, Homological dimensions of Banach spaces , in Linear and Complex Analysis Problem Book 3, Part I , V.P.

Homological dimensions of Banach spaces Wodzicki, Homological dimensions of Banach spaces , in Linear and Complex Analysis Problem Book 3, Part I , V.P

Reference 56

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:52:25.687371Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:52:25.636461Z digest=sha256:865b9752b3f44aa009f3538dfe84816980c75e1db5af5638dddd1253c56245cd

Observation 384427f2-1f94-44de-9684-e584978a60cb · outbound

This paper cites Zippin, The separable extension problem , Israel J.

Homological dimensions of Banach spaces Zippin, The separable extension problem , Israel J

Reference 57

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:52:25.674684Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:52:25.640347Z digest=sha256:246b25191198117a110f1b4bd7a785333f863921e9d71328263e5aea3663dab5

Pith citing papers

No inbound Pith citation observations are available.