A combinatorial description of shape theory

2022/05/06 by Chocano, Pedro J., Morón, Manuel A., del Portal, Francisco R. Ruiz
#06A07 #06A11 #54C56 #55P55 #Algebraic Topology (math.AT) #Combinatorics (math.CO) #FOS: Mathematics #General Topology (math.GN)

paper · doi:10.48550/arxiv.2205.03034

Abstract

We give a combinatorial description of shape theory using finite topological T₀-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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