Coincidence theorems for finite topological spaces

dc.contributor.author	Chocano , Pedro J.
dc.date.accessioned	2025-07-07T08:17:32Z
dc.date.available	2025-07-07T08:17:32Z
dc.date.issued	2026-05-26
dc.description.abstract	In this work, we adapt the definition of the Vietoris map to the setting of finite topological spaces and establish several coincidence theorems.From these theorems, we derive a Lefschetz fixed point theorem for multivalued maps, which extends recent results in the field.Finally, we illustrate an application of this theory in approximating discrete dynamical systems.
dc.identifier.citation	Pedro J. Chocano, Manuel A. Morón & Francisco R. Ruiz del Portal, Coincidence theorems for finite topological spaces. Topol. Method Nonl. An., 65(1): 219-263, 2025
dc.identifier.doi	10.12775/TMNA.2024.028
dc.identifier.issn	1230-3429
dc.identifier.uri	https://hdl.handle.net/10115/91457
dc.identifier.url	https://projecteuclid.org/journalArticle/Download?urlId=10.12775%2FTMNA.2024.028
dc.language.iso	en
dc.publisher	Juliusz Schauder University Center for Nonlinear Studies ; Nicolaus Copernicus University in Toruń
dc.rights.accessRights	info:eu-repo/semantics/closedAccess
dc.subject	Alexandroff spaces
dc.subject	approximation of polyhedra
dc.subject	dynamical systems
dc.subject	Finite T0-spaces
dc.subject	Fixed points
dc.subject	multivalued maps
dc.subject	posets
dc.title	Coincidence theorems for finite topological spaces
dc.type	Article

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