The Szymczak Functor on the Category of Finite Sets and Finite Relations
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2022
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| _version_ | 1866909617116676096 |
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| author | Przybylski, Mateusz Mrozek, Marian Wiseman, Jim |
| author_facet | Przybylski, Mateusz Mrozek, Marian Wiseman, Jim |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2203_08525 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | The Szymczak Functor on the Category of Finite Sets and Finite Relations Przybylski, Mateusz Mrozek, Marian Wiseman, Jim Dynamical Systems Combinatorics Category Theory 37B30 (Primary) 18B10, 06A06, 05C20 (Secondary) 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. |
| title | The Szymczak Functor on the Category of Finite Sets and Finite Relations |
| topic | Dynamical Systems Combinatorics Category Theory 37B30 (Primary) 18B10, 06A06, 05C20 (Secondary) |
| url | https://arxiv.org/abs/2203.08525 |