A combinatorial description of shape theory

Published 6 May 2022 in math.GN, math.AT, and math.CO | (2205.03034v1)

Abstract: 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.

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