Journal of the Mathematical Society of Japan
Online ISSN : 1881-1167
Print ISSN : 0025-5645
ISSN-L : 0025-5645
A combinatorial perspective on shape theory
Pedro J. ChocanoManuel A. MorónFrancisco R. Ruiz del Portal
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2026 年 78 巻 1 号 p. 149-172

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We give a description of shape theory using finite topological 𝑇0-spaces (finite partially ordered sets). This description serves as a first step towards developing computational methods in shape theory for future works. Additionally, we introduce the notion of core for inverse sequences of finite topological spaces and prove some properties.

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