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arXiv:2205.03034 [math.GN]AbstractReferencesReviewsResources

A combinatorial description of shape theory

Pedro J. Chocano, Manuel A. Morón, Francisco R. Ruiz del Portal

Published 2022-05-06Version 1

We give a combinatorial description of shape theory using finite topological $T_0$-spaces (finite partially ordered sets). This description may lead to a sort of computational shape theory. Then we introduce the notion of core for inverse sequences of finite spaces and prove some properties.

Comments: 20 pages, 7 figures
Categories: math.GN, math.AT, math.CO
Subjects: 06A11, 06A07, 54C56, 55P55
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