A combinatorial perspective on shape theory

dc.contributor.author	Chocano , Pedro J.
dc.contributor.author	Morón, Manuel A.
dc.date.accessioned	2025-07-07T08:22:54Z
dc.date.available	2025-07-07T08:22:54Z
dc.date.issued	2025-06-30
dc.description.abstract	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.
dc.identifier.citation	Pedro J. CHOCANO. Manuel A. MORÓN. Francisco R. RUIZ DEL PORTAL. "A combinatorial perspective on shape theory." J. Math. Soc. Japan Advance Publication 1 - 24, June, 2025. https://doi.org/10.2969/jmsj/89688968
dc.identifier.doi	10.2969/jmsj/89688968
dc.identifier.issn	0025-5645
dc.identifier.uri	https://hdl.handle.net/10115/91477
dc.identifier.url	https://projecteuclid.org/journalArticle/Download?urlId=10.2969%2Fjmsj%2F89688968
dc.language.iso	en
dc.publisher	Mathematical Society of Japan
dc.rights.accessRights	info:eu-repo/semantics/closedAccess
dc.subject	algebraic topology and shape theory
dc.subject	Finite topological space
dc.subject	posets
dc.title	A combinatorial perspective on shape theory
dc.type	Article

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