A category to classify compact Hausdorff spaces and finite spaces

dc.contributor.author	Chocano , Pedro J.
dc.contributor.author	Morón, Manuel A.
dc.contributor.author	Ruiz del Portal, Francisco R.
dc.date.accessioned	2025-07-07T08:11:42Z
dc.date.available	2025-07-07T08:11:42Z
dc.date.issued	2025-02-12
dc.description.abstract	We construct a category that classifies compact Hausdorff spaces by their shape and finite topological spaces by their weak homotopy type. This construction is based on inverse systems of finite covers, that are considered as finite partially ordered sets.
dc.identifier.citation	Pedro J. Chocano, Manuel A. Morón & Francisco R. Ruiz del Portal, A category to classify compact Hausdorff spaces and finite spaces. Homol. Homotopy Appl., 27(1), 17-28, 2025.
dc.identifier.doi	https://dx.doi.org/10.4310/HHA.2025.v27.n1.a2
dc.identifier.issn	1532-0073
dc.identifier.uri	https://hdl.handle.net/10115/91437
dc.language.iso	en
dc.publisher	International Press of Boston
dc.rights.accessRights	info:eu-repo/semantics/closedAccess
dc.subject	finite topological space
dc.subject	poset
dc.subject	compact Hausdorff space
dc.subject	shape theory
dc.subject	weak homotopy type
dc.title	A category to classify compact Hausdorff spaces and finite spaces
dc.type	Article

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