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L’Enseignement Mathématique
Article . 2024 . Peer-reviewed
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arXiv.org e-Print Archive
Preprint . 2022
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Article . 2025
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https://dx.doi.org/10.48550/ar...
Article . 2022
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Finite Ramsey theory through category theory

descriptionPublicationkeyboard_double_arrow_right Article , Preprint 23 Apr 2024Embargo end date: 01 Jan 2022Publisher:European Mathematical Society - EMS - Publishing House GmbHJournal:L’Enseignement Mathématique, volume 71, pages 107-137 (issn: 0013-8584, eissn: 2309-4672, Copyright policy )Funded by:NSF | Definable Equivalence Rel...
Authors: Sławomir Solecki;

doi: 10.4171/lem/1070 , 10.48550/arxiv.2205.10446

arXiv: 2205.10446

Finite Ramsey theory through category theory

Abstract

We present a new, category-theoretic point of view on finite Ramsey theory. Our aims are as follows: We also provide some concrete illustrations of the general method.

Related Organizations
Keywords

Frank functors, 05D10, 05C55, 18A22, Ramsey theory, Generalized Ramsey theory, Mathematics - Category Theory, Special properties of functors (faithful, full, etc.), category theory, FOS: Mathematics, Mathematics - Combinatorics, Category Theory (math.CT), Combinatorics (math.CO)

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    This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
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    popularity
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    influence
    This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
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    impulse
    This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
1
Average
Average
Average
Green
gold