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Applied Categorical Structures
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Applied Categorical Structures
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Applied Categorical Structures
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Katětov Functors

descriptionPublicationkeyboard_double_arrow_right Article , Preprint , Other literature type 24 Aug 2016Embargo end date: 01 Jan 2014 English Publisher:Springer Science and Business Media LLCJournal:Applied Categorical Structures, volume 25, pages 569-602 (issn: 0927-2852, eissn: 1572-9095, Copyright policy )
Authors: Masulovic, Dragan; Wieslaw, Kubis;

doi: 10.1007/s10485-016-9461-z , 10.48550/arxiv.1412.1850

arXiv: http://arxiv.org/abs/1412.1850

handle: 11104/0272566

Abstract

We develop a theory of \emph{Katetov functors} which provide a uniform way of constructing Fraisse limits. Among applications, we present short proofs and improvements of several recent results on the structure of the group of automorphisms and the semigroup of endomorphisms of some Fraisse limits.

Complete version, added more material, small corrections; 40 pages, 1 figure

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Keywords

Katětov functor, Fraissé limit, amalgamation, FOS: Mathematics, 03C50, 18A22, 03C30, Mathematics - Logic, Logic (math.LO), Theoretical Computer Science, Computer Science(all)

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    		 12
    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.
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    influence
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    This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
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citations
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!
12
Average
Top 10%
Top 10%
Green
hybrid