Paper Citation Record · LEDGER

Transversal, $T_{1}$-independent, and $T_{1}$-complementary paratopological group topologies

As of 16 August 2026, this Paper Citation Record lists 17 of 17 outbound references and 0 inbound Pith citation observations for arXiv:1908.06236.

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

pith.paper-citation-record.v1
1908.06236 v1

Coverage vector

measured 17 of 17 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T13:08:13.160667Z

measured 17 of 17 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-15T06:32:42.880941+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: cited_works

Reference resolution

17 of 17 outbound references displayed

verified exact0
verified fuzzy14
unresolved3
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation e4557239-c05a-48ff-90da-4aef294bd027 · outbound

This paper cites an unresolved cited work.

Transversal, $T_{1}$-independent, and $T_{1}$-complementary paratopological group topologies Unresolved cited work

Reference 1

Resolution: unresolved; raw_fallback, observed 2026-08-14T13:08:13.392728Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 6e9caa97-f9ba-40ae-b428-87bd38795f97 · outbound

This paper cites Arhangel’skiˇ ı, M.

Transversal, $T_{1}$-independent, and $T_{1}$-complementary paratopological group topologies Arhangel’skiˇ ı, M

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T13:08:13.380843Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 855ad919-6a4b-4999-a029-7fe6bfa91eed · outbound

This paper cites Bagley, On the characterization of the lattice of topo logies, J.

Transversal, $T_{1}$-independent, and $T_{1}$-complementary paratopological group topologies Bagley, On the characterization of the lattice of topo logies, J

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T13:08:13.369351Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 6983b24f-918d-41c5-8e20-569c0a599632 · outbound

This paper cites Birkhoﬀ, On the combination of topologies , Fundam.

Transversal, $T_{1}$-independent, and $T_{1}$-complementary paratopological group topologies Birkhoﬀ, On the combination of topologies , Fundam

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T13:08:13.355306Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 824fc849-0f5f-4383-bc16-3b09ae6fdf58 · outbound

This paper cites B/suppress laszczyk, M.

Transversal, $T_{1}$-independent, and $T_{1}$-complementary paratopological group topologies B/suppress laszczyk, M

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T13:08:13.341015Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation fe96a602-b49d-4b6a-a085-8ac6478376ef · outbound

This paper cites Dikranjan, M.

Transversal, $T_{1}$-independent, and $T_{1}$-complementary paratopological group topologies Dikranjan, M

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T13:08:13.330259Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation a827a23d-3b85-4202-a866-da9f9876f708 · outbound

This paper cites Dikranjan, M.

Transversal, $T_{1}$-independent, and $T_{1}$-complementary paratopological group topologies Dikranjan, M

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T13:08:13.317664Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation acd2e8e4-4ec0-4ab4-a3e9-3e816f462d35 · outbound

This paper cites Engelking, General Topology (revised and completed edition), Heldermann Verlag, Berli n, 1989.

Transversal, $T_{1}$-independent, and $T_{1}$-complementary paratopological group topologies Engelking, General Topology (revised and completed edition), Heldermann Verlag, Berli n, 1989

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T13:08:13.305752Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 3f79a84b-7e9f-467b-a079-9cff37a43b57 · outbound

This paper cites an unresolved cited work.

Transversal, $T_{1}$-independent, and $T_{1}$-complementary paratopological group topologies Unresolved cited work

Reference 9

Resolution: unresolved; raw_fallback, observed 2026-08-14T13:08:13.292370Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 1b8f8b9c-52fc-4353-9e60-fcde6f89e83c · outbound

This paper cites Liu, A note on paratopological groups , Comment Math.

Transversal, $T_{1}$-independent, and $T_{1}$-complementary paratopological group topologies Liu, A note on paratopological groups , Comment Math

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T13:08:13.280288Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 71831e57-8eb6-4910-9197-93d40db67783 · outbound

This paper cites Protasov, E.

Transversal, $T_{1}$-independent, and $T_{1}$-complementary paratopological group topologies Protasov, E

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T13:08:13.269358Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation d2d6bf52-efdf-464a-a4d4-dd3a23cb1d58 · outbound

This paper cites an unresolved cited work.

Transversal, $T_{1}$-independent, and $T_{1}$-complementary paratopological group topologies Unresolved cited work

Reference 12

Resolution: unresolved; raw_fallback, observed 2026-08-14T13:08:13.255889Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation f7cd6611-cf75-4543-859b-10281a767ef8 · outbound

This paper cites Shakhmatov, Condensations of universal topological algebras preservi ng continuity of operations and decreasing weights, Moscow Univ.

Transversal, $T_{1}$-independent, and $T_{1}$-complementary paratopological group topologies Shakhmatov, Condensations of universal topological algebras preservi ng continuity of operations and decreasing weights, Moscow Univ

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T13:08:13.241889Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 2e5ed2a2-060a-4f06-a303-f0ee13b38a91 · outbound

This paper cites Steiner, Complementation in the lattice of T1-topologies, Proc.

Transversal, $T_{1}$-independent, and $T_{1}$-complementary paratopological group topologies Steiner, Complementation in the lattice of T1-topologies, Proc

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T13:08:13.230069Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation af5a4c7f-a5e8-4320-9383-3b2089ead3ef · outbound

This paper cites Tkachenko, I.

Transversal, $T_{1}$-independent, and $T_{1}$-complementary paratopological group topologies Tkachenko, I

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T13:08:13.218300Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation fd4e9e1e-e3b4-4ddc-91af-6e6d78cc04a7 · outbound

This paper cites Tkachenko, Paratopological and semitopological groups versus topolo gical groups , Recent Progress in General Topology III, Springer-Verlag, Atlantis Press, 20 14.

Transversal, $T_{1}$-independent, and $T_{1}$-complementary paratopological group topologies Tkachenko, Paratopological and semitopological groups versus topolo gical groups , Recent Progress in General Topology III, Springer-Verlag, Atlantis Press, 20 14

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T13:08:13.206944Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation ce1b9017-fa20-4e02-bf59-75eddc8f0f0c · outbound

This paper cites Zelenyuk, I.

Transversal, $T_{1}$-independent, and $T_{1}$-complementary paratopological group topologies Zelenyuk, I

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T13:08:13.193597Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Pith citing papers

No inbound Pith citation observations are available.