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arXiv · 2203.08525

The Szymczak Functor on the Category of Finite Sets and Finite Relations

Mateusz Przybylski·Marian Mrozek·Jim Wiseman
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Abstract

The Szymczak functor is a tool used to construct the Conley index for dynamical systems with discrete time. We present an algorithmizable classification of isomorphism classes in the Szymczak category over the category of finite sets with arbitrary relations as morphisms. The research is the first step towards the construction of Conley theory for relations.

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Mateusz Przybylski, Marian Mrozek, Jim Wiseman. 2022-03-16. The Szymczak Functor on the Category of Finite Sets and Finite Relations. https://doi.org/10.1007/s10884-023-10332-9

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