Katetov functors
Wies{\l}aw Kubi\'s, Dragan Ma\v{s}ulovi\'c
TL;DR
This paper introduces Katetov functors as a unified method for constructing Fraisse limits, leading to simplified proofs and enhancements of results concerning automorphism and endomorphism groups of these limits.
Contribution
It develops the theory of Katetov functors and applies it to improve understanding of automorphism and endomorphism structures of Fraisse limits.
Findings
Simplified proofs of existing results
Enhanced understanding of automorphism groups
New insights into endomorphism semigroups
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.
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Taxonomy
TopicsMathematical Dynamics and Fractals · Homotopy and Cohomology in Algebraic Topology · Advanced Topology and Set Theory