Paper Citation Record · LEDGER

A guide to topological reconstruction on endomorphism monoids and polymorphism clones

As of 23 August 2026, this Paper Citation Record lists 58 of 58 outbound references and 3 inbound Pith citation observations for arXiv:2512.01086.

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

pith.paper-citation-record.v1
2512.01086 v2

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measured 58 of 58 reference resolution

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Pith citing papers itemized under the disclosed page cap.

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Reference resolution

58 of 58 outbound references displayed

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Outbound references

Observation 148a7646-c99c-4c69-8376-cfedf8e44d98 · outbound

This paper cites Quasi-finitely axiomatizable totally categori- cal theories.

A guide to topological reconstruction on endomorphism monoids and polymorphism clones Quasi-finitely axiomatizable totally categori- cal theories

Reference 1

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Observation dfe03ecb-0279-4c23-9d49-0370b7e32dd3 · outbound

This paper cites Reconstruction of Homogeneous Relational Structures.

A guide to topological reconstruction on endomorphism monoids and polymorphism clones Reconstruction of Homogeneous Relational Structures

Reference 2

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Observation 0c68c625-9e7f-430f-944f-93c67a8e1894 · outbound

This paper cites A note on intrinsic topologies of groups.

A guide to topological reconstruction on endomorphism monoids and polymorphism clones A note on intrinsic topologies of groups

Reference 3

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Observation bdf0ebbd-232b-4726-aa21-e6ce18a7a215 · outbound

This paper cites Equations in oligomorphic clones and the constraint satisfaction problem forω-categorical structures.

A guide to topological reconstruction on endomorphism monoids and polymorphism clones Equations in oligomorphic clones and the constraint satisfaction problem forω-categorical structures

Reference 4

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Observation ab146cc3-aec2-471b-af33-8f2aaf8b4b16 · outbound

This paper cites Topology is irrelevant.

A guide to topological reconstruction on endomorphism monoids and polymorphism clones Topology is irrelevant

Reference 5

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Observation c713764c-2b4a-447e-9be1-71c6953726ce · outbound

This paper cites LMS Lecture Note Series 232.

A guide to topological reconstruction on endomorphism monoids and polymorphism clones LMS Lecture Note Series 232

Reference 6

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Observation 120ca193-a364-4428-b22c-42c9a9174e41 · outbound

This paper cites Reconstructing the topology on monoids and polymorphism clones of the rationals.

A guide to topological reconstruction on endomorphism monoids and polymorphism clones Reconstructing the topology on monoids and polymorphism clones of the rationals

Reference 7

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Observation a9f66627-4c33-4b13-ac0b-6a8eaca4bfe8 · outbound

This paper cites On a stronger reconstruction notion for monoids and clones.

A guide to topological reconstruction on endomorphism monoids and polymorphism clones On a stronger reconstruction notion for monoids and clones

Reference 8

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Observation b2e8e3ce-d630-4494-8312-a585f191954e · outbound

This paper cites Lecture Notes in Logic (52).

A guide to topological reconstruction on endomorphism monoids and polymorphism clones Lecture Notes in Logic (52)

Reference 9

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This paper cites Cores of countably categorical structures.

A guide to topological reconstruction on endomorphism monoids and polymorphism clones Cores of countably categorical structures

Reference 10

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This paper cites Ramsey Classes: Examples and Constructions.

A guide to topological reconstruction on endomorphism monoids and polymorphism clones Ramsey Classes: Examples and Constructions

Reference 11

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Observation b04e73c6-dda5-4ccd-963b-0339bac8a423 · outbound

This paper cites The Reducts of Equality up to Primitive Positive Interdefinability.

A guide to topological reconstruction on endomorphism monoids and polymorphism clones The Reducts of Equality up to Primitive Positive Interdefinability

Reference 12

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Observation f1141379-53cd-48cf-a1fa-f4acf31fda54 · outbound

This paper cites A coun- terexample to the reconstruction ofω-categorical structures from their endomor- phism monoids.

A guide to topological reconstruction on endomorphism monoids and polymorphism clones A coun- terexample to the reconstruction ofω-categorical structures from their endomor- phism monoids

Reference 13

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Observation a9e2775b-ddc6-4e5a-972b-d5d2158c7abe · outbound

This paper cites ℵ 0-categorical structures: interpretations and endomorphisms.

A guide to topological reconstruction on endomorphism monoids and polymorphism clones ℵ 0-categorical structures: interpretations and endomorphisms

Reference 14

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Observation 0fd16aef-cd3c-47aa-a959-d53fac87bb1c · outbound

This paper cites Constraint Satisfaction with Countable Ho- mogeneous Templates.

A guide to topological reconstruction on endomorphism monoids and polymorphism clones Constraint Satisfaction with Countable Ho- mogeneous Templates

Reference 15

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Observation eb967b77-c395-4699-b090-339084169ee9 · outbound

This paper cites Topological Birkhoff.

A guide to topological reconstruction on endomorphism monoids and polymorphism clones Topological Birkhoff

Reference 16

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Observation 3bff3606-44db-46ab-9797-e047d507e84b · outbound

This paper cites Projective clone homo- morphisms.

A guide to topological reconstruction on endomorphism monoids and polymorphism clones Projective clone homo- morphisms

Reference 17

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Observation 8d1454ea-cb2d-41a1-b320-7481edcb5ed5 · outbound

This paper cites Reconstructing the Topol- ogy of Clones.

A guide to topological reconstruction on endomorphism monoids and polymorphism clones Reconstructing the Topol- ogy of Clones

Reference 18

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This paper cites Cameron.Oligomorphic permutation groups.

A guide to topological reconstruction on endomorphism monoids and polymorphism clones Cameron.Oligomorphic permutation groups

Reference 19

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This paper cites Transitivity of permutation groups on unordered sets.

A guide to topological reconstruction on endomorphism monoids and polymorphism clones Transitivity of permutation groups on unordered sets

Reference 20

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Observation 8c8918cc-4cdb-4899-b624-40a89b40e815 · outbound

This paper cites Homomorphism-homogeneous relational structures.

A guide to topological reconstruction on endomorphism monoids and polymorphism clones Homomorphism-homogeneous relational structures

Reference 21

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This paper cites ℵ 0-categorical,ℵ 0-stable Structures.

A guide to topological reconstruction on endomorphism monoids and polymorphism clones ℵ 0-categorical,ℵ 0-stable Structures

Reference 22

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A guide to topological reconstruction on endomorphism monoids and polymorphism clones Subgroups of small index in infinite symmetric groups

Reference 23

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This paper cites Polish topologies on endomorphism monoids of relational structures.

A guide to topological reconstruction on endomorphism monoids and polymorphism clones Polish topologies on endomorphism monoids of relational structures

Reference 24

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This paper cites Automatic continuity, unique Polish topologies, and Zariski topologies on monoids and clones.

A guide to topological reconstruction on endomorphism monoids and polymorphism clones Automatic continuity, unique Polish topologies, and Zariski topologies on monoids and clones

Reference 25

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This paper cites Counterexamples to a conjecture on relative categoricity.

A guide to topological reconstruction on endomorphism monoids and polymorphism clones Counterexamples to a conjecture on relative categoricity

Reference 26

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A guide to topological reconstruction on endomorphism monoids and polymorphism clones Decidability of interpretability

Reference 27

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This paper cites Group topologies on auto- morphism groups of homogeneous structures.

A guide to topological reconstruction on endomorphism monoids and polymorphism clones Group topologies on auto- morphism groups of homogeneous structures

Reference 28

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This paper cites Cambridge: Cambridge University Press, 1993.

A guide to topological reconstruction on endomorphism monoids and polymorphism clones Cambridge: Cambridge University Press, 1993

Reference 29

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This paper cites The Small In- dex Property forω-Stableω-Categorical Structures and for the Random Graph.

A guide to topological reconstruction on endomorphism monoids and polymorphism clones The Small In- dex Property forω-Stableω-Categorical Structures and for the Random Graph

Reference 30

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A guide to topological reconstruction on endomorphism monoids and polymorphism clones Unpublished notes

Reference 31

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A guide to topological reconstruction on endomorphism monoids and polymorphism clones Automorphism groups of finite topological rank

Reference 32

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A guide to topological reconstruction on endomorphism monoids and polymorphism clones Kechris.Classical descriptive set theory

Reference 33

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A guide to topological reconstruction on endomorphism monoids and polymorphism clones Turbulence, amalgamation and generic automorphisms of homogeneous structures

Reference 34

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This paper cites The group of homeomorphisms of the Cantor set has ample generics.

A guide to topological reconstruction on endomorphism monoids and polymorphism clones The group of homeomorphisms of the Cantor set has ample generics

Reference 35

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A guide to topological reconstruction on endomorphism monoids and polymorphism clones Autour de la propriété du petit indice

Reference 36

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This paper cites Le demi-groupe des endomorphismes d’une structureℵ 0-catégorique.

A guide to topological reconstruction on endomorphism monoids and polymorphism clones Le demi-groupe des endomorphismes d’une structureℵ 0-catégorique

Reference 37

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A guide to topological reconstruction on endomorphism monoids and polymorphism clones On the category of models of a complete theory

Reference 38

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A guide to topological reconstruction on endomorphism monoids and polymorphism clones A survey of homogeneous structures

Reference 39

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A guide to topological reconstruction on endomorphism monoids and polymorphism clones Invariant Keisler measures forω-categorical structures

Reference 40

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A guide to topological reconstruction on endomorphism monoids and polymorphism clones Cores over Ramsey structures

Reference 41

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A guide to topological reconstruction on endomorphism monoids and polymorphism clones Minimal and intrinsic topologies on monoids of elementary embeddings

Reference 42

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This paper cites Two classes of oligomorphic groups with smooth topological isomorphism relation.

A guide to topological reconstruction on endomorphism monoids and polymorphism clones Two classes of oligomorphic groups with smooth topological isomorphism relation

Reference 43

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This paper cites Reconstructing Structures with the Strong Small Index Property up to Bi-Definability.

A guide to topological reconstruction on endomorphism monoids and polymorphism clones Reconstructing Structures with the Strong Small Index Property up to Bi-Definability

Reference 44

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A guide to topological reconstruction on endomorphism monoids and polymorphism clones The Strong Small Index Property for Free Homogeneous Structures

Reference 45

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This paper cites Polymorphism clones of homogeneous structures: gate coverings and automatic homeomorphicity.

A guide to topological reconstruction on endomorphism monoids and polymorphism clones Polymorphism clones of homogeneous structures: gate coverings and automatic homeomorphicity

Reference 46

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This paper cites Reconstructing the Topology of the Elementary Self- embedding Monoids of Countable Saturated Structures.

A guide to topological reconstruction on endomorphism monoids and polymorphism clones Reconstructing the Topology of the Elementary Self- embedding Monoids of Countable Saturated Structures

Reference 47

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This paper cites Current challenges in infinite-domain constraint satisfaction: Dilem- mas of the infinite sheep.

A guide to topological reconstruction on endomorphism monoids and polymorphism clones Current challenges in infinite-domain constraint satisfaction: Dilem- mas of the infinite sheep

Reference 48

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A guide to topological reconstruction on endomorphism monoids and polymorphism clones On the Zariski topology on endomorphism monoids of omega-categorical structures

Reference 49

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A guide to topological reconstruction on endomorphism monoids and polymorphism clones The semigroup of increasing functions on the rational numbers has a unique Polish topology

Reference 50

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A guide to topological reconstruction on endomorphism monoids and polymorphism clones On the reconstruction ofω-categorical structures from their au- tomorphism groups

Reference 51

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A guide to topological reconstruction on endomorphism monoids and polymorphism clones Semigroup topologies on endomorphism monoids of omega- categorical structures

Reference 52

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A guide to topological reconstruction on endomorphism monoids and polymorphism clones Lecture Notes in Logic

Reference 53

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A guide to topological reconstruction on endomorphism monoids and polymorphism clones On the isometry group of the Urysohn space

Reference 54

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A guide to topological reconstruction on endomorphism monoids and polymorphism clones Infinite permutation groups. II. Subgroups of small index

Reference 55

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A guide to topological reconstruction on endomorphism monoids and polymorphism clones Reconstructing the topology on monoids and polymorphism clones of reducts of the rationals

Reference 56

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A guide to topological reconstruction on endomorphism monoids and polymorphism clones Unresolved cited work

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A guide to topological reconstruction on endomorphism monoids and polymorphism clones Über die Kommutatorgruppe kompakter Gruppen

Reference 58

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Pith citing papers

Observation fb139f90-2249-49b7-88bf-2dbae38d3808 · inbound

The Zariski Topology on Homeomorphism groups cites this paper.

The Zariski Topology on Homeomorphism groups A guide to topological reconstruction on endomorphism monoids and polymorphism clones

Reference 1961

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Observation 715a036f-31e1-4de9-9005-476164b913cf · inbound

The Zariski Topology on Homeomorphism groups cites this paper.

The Zariski Topology on Homeomorphism groups A guide to topological reconstruction on endomorphism monoids and polymorphism clones

Reference 1961

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Observation 1376ba0f-1af9-4faf-9062-edee83f4e2a8 · inbound

Polish topologies on endomorphism monoids of linear orders cites this paper.

Polish topologies on endomorphism monoids of linear orders A guide to topological reconstruction on endomorphism monoids and polymorphism clones

Reference 18

Resolution: verified exact; arxiv_id, observed 2026-07-13T02:18:52.784447Z

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