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Contractibility of the digital n-space

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Contractibility of the digital n-space

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dc.contributor.author Hamada, Sayaka es_ES
dc.date.accessioned 2015-05-13T11:37:08Z
dc.date.available 2015-05-13T11:37:08Z
dc.date.issued 2015-04-01
dc.identifier.issn 1576-9402
dc.identifier.uri http://hdl.handle.net/10251/50150
dc.description.abstract [EN] The aim of this paper is to prove a known fact that the digital line is cotractible. Hence we have that the digital space $({\bf Z}^{n}, \kappa^{n})$ is also cotractible where $({\bf Z}^{n}, \kappa^{n})$ is $n$ products of the digital line $({\bf Z}, \kappa)$.  This is a fundamental property of homotopy theory. es_ES
dc.language Inglés es_ES
dc.publisher Editorial Universitat Politècnica de València
dc.relation.ispartof Applied General Topology
dc.rights Reconocimiento - No comercial - Sin obra derivada (by-nc-nd) es_ES
dc.subject Khalimsky topology es_ES
dc.subject Digital $n$-space es_ES
dc.subject Contractible es_ES
dc.subject Homotopy es_ES
dc.title Contractibility of the digital n-space es_ES
dc.type Artículo es_ES
dc.date.updated 2015-05-13T09:48:01Z
dc.identifier.doi 10.4995/agt.2015.1826
dc.rights.accessRights Abierto es_ES
dc.description.bibliographicCitation Hamada, S. (2015). Contractibility of the digital n-space. Applied General Topology. 16(1):15-17. https://doi.org/10.4995/agt.2015.1826 es_ES
dc.description.accrualMethod SWORD es_ES
dc.relation.publisherversion https://doi.org/10.4995/agt.2015.1826 es_ES
dc.description.upvformatpinicio 15 es_ES
dc.description.upvformatpfin 17 es_ES
dc.type.version info:eu-repo/semantics/publishedVersion es_ES
dc.description.volume 16
dc.description.issue 1
dc.identifier.eissn 1989-4147
dc.description.references M. Fujimoto, S. Takigawa, J. Dontchev, H. Maki and T. Noiri, The topological structures and groups of digital n-spaces, Kochi J. Math. 1 (2006), 31-55. es_ES
dc.description.references S. Hamada and T. Hayashi, Fuzzy topological structures of low dimensional digital spaces, Journal of Fuzzy Mathematics 20, no. 1 (2012), 15-23. es_ES
dc.description.references E. D. Khalimsky, On topologies of generalized segments, Soviet Math. Doklady 10 (1969), 1508-1511. es_ES


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