Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-05T13:14:05.064930Z
Paper Citation Record · LEDGER
There may be an $n$-entangled set but no $n+1$-entangled sets
As of 14 August 2026, this Paper Citation Record lists 28 of 28 outbound references and 1 inbound Pith citation observation for arXiv:2509.01029.
A citation records a reference. It does not transfer a finding from one paper to another.
Coverage vector
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-14T06:32:32.682623+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links, observed 2026-08-03T13:04:36.057551Z
A source-named dated measurement, never combined with another source.
Source: cited_works
Reference resolution
28 of 28 outbound references displayed
- verified exact0
- verified fuzzy27
- unresolved1
- parse uncertain0
- malformed identifier0
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation 7594e99c-fc62-48f8-b7e1-b9823ab0e80d · outbound
This paper cites On the consistency of some partition theorems for continuouscolorings,andthestructureof ℵ1-denserealordertypes.
There may be an $n$-entangled set but no $n+1$-entangled sets On the consistency of some partition theorems for continuouscolorings,andthestructureof ℵ1-denserealordertypes
Reference 1
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T13:14:05.385353Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 7f3c5ff9-b4cc-42df-811b-45136cef097c · outbound
This paper cites Martin’s axiom does not imply that every twoℵ1-dense sets of reals are isomorphic.
There may be an $n$-entangled set but no $n+1$-entangled sets Martin’s axiom does not imply that every twoℵ1-dense sets of reals are isomorphic
Reference 2
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T13:14:05.375181Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation a475fece-fc02-41c6-91cf-a5c7c3b9ca15 · outbound
This paper cites Beaudoin.
There may be an $n$-entangled set but no $n+1$-entangled sets Beaudoin
Reference 3
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T13:14:05.366194Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation d65dd480-63ac-4935-9059-b5293319ad2d · outbound
This paper cites Baumgartner.
There may be an $n$-entangled set but no $n+1$-entangled sets Baumgartner
Reference 4
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T13:14:05.356674Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation dd024cf2-b501-4260-a3e8-82063effd779 · outbound
This paper cites Hausdorff gaps and towers in(𝜔)∕Fin.
There may be an $n$-entangled set but no $n+1$-entangled sets Hausdorff gaps and towers in(𝜔)∕Fin
Reference 5
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T13:14:05.346952Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation d2025f86-ce89-4435-826e-ffed159f0ffa · outbound
This paper cites Some questions on entangled linear orders, 2025.
There may be an $n$-entangled set but no $n+1$-entangled sets Some questions on entangled linear orders, 2025
Reference 6
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T13:14:05.337089Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 068447db-68bd-4b37-a1a0-11db500c3437 · outbound
This paper cites On construction schemes: building the uncountable from finite pieces, 2024.
There may be an $n$-entangled set but no $n+1$-entangled sets On construction schemes: building the uncountable from finite pieces, 2024
Reference 7
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T13:14:05.324355Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 9bcc275c-4147-41e2-b4cb-d746d2506c65 · outbound
This paper cites Multiple gaps and some finitizations of club and ch, 2025.
There may be an $n$-entangled set but no $n+1$-entangled sets Multiple gaps and some finitizations of club and ch, 2025
Reference 8
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T13:14:05.313449Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 44b0e39d-3058-48bb-80a8-bc1f846bf684 · outbound
This paper cites Why Y-c.c.Ann.
There may be an $n$-entangled set but no $n+1$-entangled sets Why Y-c.c.Ann
Reference 9
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T13:14:05.304197Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation fd45c48f-694b-48e4-a9ec-9948b4978e59 · outbound
This paper cites Construction schemes: Transferring structures from𝜔to𝜔1.submitted.
There may be an $n$-entangled set but no $n+1$-entangled sets Construction schemes: Transferring structures from𝜔to𝜔1.submitted
Reference 10
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T13:14:05.294470Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 2cb9276f-0949-45c7-95e7-4a732b8c9f38 · outbound
This paper cites Forcing axioms and con- struction schemes.In preparation.
There may be an $n$-entangled set but no $n+1$-entangled sets Forcing axioms and con- struction schemes.In preparation
Reference 11
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T13:14:05.284052Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 4d9979e8-67a7-46c7-bd6f-949de39bda1c · outbound
This paper cites PhD thesis, University of Toronto (Canada), 2025.
There may be an $n$-entangled set but no $n+1$-entangled sets PhD thesis, University of Toronto (Canada), 2025
Reference 12
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T13:14:05.274178Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation dc3d01fd-3325-4a57-92d0-ac51876b4662 · outbound
This paper cites The p-ideal dichotomy, martin’s axiom and entangled sets.
There may be an $n$-entangled set but no $n+1$-entangled sets The p-ideal dichotomy, martin’s axiom and entangled sets
Reference 13
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T13:14:05.264039Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 3ab30b97-c0a3-42df-a009-a0783eebafe4 · outbound
This paper cites Large irredundant sets in operator algebras.Canad.
There may be an $n$-entangled set but no $n+1$-entangled sets Large irredundant sets in operator algebras.Canad
Reference 14
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T13:14:05.254278Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation c94f2e7c-8958-49d9-9ddd-fa70688e4326 · outbound
This paper cites ActaMath.Hungar.
There may be an $n$-entangled set but no $n+1$-entangled sets ActaMath.Hungar
Reference 15
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T13:14:05.243956Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation bf7c521e-fc52-4bfc-a471-a25885bb5b81 · outbound
This paper cites Entangledness in Suslin lines and trees.Topology Appl., 275:107157, 19, 2020.
There may be an $n$-entangled set but no $n+1$-entangled sets Entangledness in Suslin lines and trees.Topology Appl., 275:107157, 19, 2020
Reference 16
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T13:14:05.233092Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation e495ab0d-b168-4390-987a-032fbe1d7691 · outbound
This paper cites Banach spaces from a construction scheme.J.
There may be an $n$-entangled set but no $n+1$-entangled sets Banach spaces from a construction scheme.J
Reference 17
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T13:14:05.222173Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation e979722f-8690-45cb-8b89-af5dccf8b625 · outbound
This paper cites Constructionschemesandtheirapplications .PhDthesis,UniversityofToronto(Canada), 2018.
There may be an $n$-entangled set but no $n+1$-entangled sets Constructionschemesandtheirapplications .PhDthesis,UniversityofToronto(Canada), 2018
Reference 18
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T13:14:05.208028Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 2c809b3e-be8f-4763-91ad-e69e3467e6e8 · outbound
This paper cites Proc.Amer.Math.Soc.
There may be an $n$-entangled set but no $n+1$-entangled sets Proc.Amer.Math.Soc
Reference 19
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T13:14:05.197853Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation a035ab88-4372-4041-908a-1160d7ac88c1 · outbound
This paper cites Math., 251(1):35–68, 2020.
There may be an $n$-entangled set but no $n+1$-entangled sets Math., 251(1):35–68, 2020
Reference 20
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T13:14:05.187957Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 57fcd4b6-76c3-4b61-936c-b5e242850d95 · outbound
This paper cites Baumgartner’s isomorphism problem forℵ2-dense suborders of ℝ.Arch.
There may be an $n$-entangled set but no $n+1$-entangled sets Baumgartner’s isomorphism problem forℵ2-dense suborders of ℝ.Arch
Reference 21
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T13:14:05.178306Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation b7442800-c17b-481b-a121-0ce3447a26be · outbound
This paper cites Forcing with sequences of models of two types.Notre Dame J.
There may be an $n$-entangled set but no $n+1$-entangled sets Forcing with sequences of models of two types.Notre Dame J
Reference 22
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T13:14:05.168270Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 7a10bce4-f88a-4bc2-b994-fa807ab4b739 · outbound
This paper cites Combinatorial dichotomies and cardinal invariants.Math.
There may be an $n$-entangled set but no $n+1$-entangled sets Combinatorial dichotomies and cardinal invariants.Math
Reference 23
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T13:14:05.157372Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation f371cfac-baa6-460f-98ff-68c3962df860 · outbound
This paper cites an unresolved cited work.
There may be an $n$-entangled set but no $n+1$-entangled sets Unresolved cited work
Reference 24
- Resolution
- unresolved
- raw_fallback, observed 2026-08-05T13:14:05.145111Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 6403fc64-2497-4918-ac5b-7d49bd9846c9 · outbound
This paper cites Weak baumgartner axioms and universal spaces, 2025.
There may be an $n$-entangled set but no $n+1$-entangled sets Weak baumgartner axioms and universal spaces, 2025
Reference 25
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T13:14:05.134121Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 38618925-8c84-4d3b-8bba-90246976f3bc · outbound
This paper cites A construction scheme for non-separable structures.Adv.
There may be an $n$-entangled set but no $n+1$-entangled sets A construction scheme for non-separable structures.Adv
Reference 26
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T13:14:05.122587Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 6c01e99e-6702-4eeb-a2ea-280d8d937656 · outbound
This paper cites Remarks on chain conditions in products.Compositio Math., 55(3):295–302, 1985.
There may be an $n$-entangled set but no $n+1$-entangled sets Remarks on chain conditions in products.Compositio Math., 55(3):295–302, 1985
Reference 27
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T13:14:05.110703Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 01b15c30-436b-4119-940c-5a3a97df6378 · outbound
This paper cites American Mathematical Society, Providence, RI, 1989.
There may be an $n$-entangled set but no $n+1$-entangled sets American Mathematical Society, Providence, RI, 1989
Reference 28
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T13:14:05.098258Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Pith citing papers
Observation a6347e45-9b7d-4da0-b137-6eb9e794e948 · inbound
Open Colorings and Baumgartner's Axiom cites this paper.
Open Colorings and Baumgartner's Axiom There may be an $n$-entangled set but no $n+1$-entangled sets
Reference 8
- Resolution
- unresolved
- no resolver link, observed 2026-08-03T13:04:36.057551Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.