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Continuous extension in topological digital spaces

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Continuous extension in topological digital spaces

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dc.contributor.author Melin, Erik es_ES
dc.date.accessioned 2017-07-28T07:56:13Z
dc.date.available 2017-07-28T07:56:13Z
dc.date.issued 2008-04-01
dc.identifier.issn 1576-9402
dc.identifier.uri http://hdl.handle.net/10251/85932
dc.description.abstract [EN] We give necessary and sufficient conditions for the existence of a continuous extension from a smallest-neighborhood space (Alexandrov space) X to the Khalimsky line. Using this result, we classify the subsets A X such that every continuous function A ! Zbcan be extended to all of X. We also consider the more general case ofbmappings X ! Y between smallest-neighborhood spaces, and prove abdigital no-retraction theorem for the Khalimsky plane es_ES
dc.language Inglés es_ES
dc.publisher 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 geometry es_ES
dc.subject Alexandrov space es_ES
dc.subject Continuous extension es_ES
dc.title Continuous extension in topological digital spaces es_ES
dc.type Artículo es_ES
dc.date.updated 2017-07-28T07:31:36Z
dc.identifier.doi 10.4995/agt.2008.1869
dc.rights.accessRights Abierto es_ES
dc.description.bibliographicCitation Melin, E. (2008). Continuous extension in topological digital spaces. Applied General Topology. 9(1):51-66. https://doi.org/10.4995/agt.2008.1869 es_ES
dc.description.accrualMethod SWORD es_ES
dc.relation.publisherversion https://doi.org/10.4995/agt.2008.1869 es_ES
dc.description.upvformatpinicio 51 es_ES
dc.description.upvformatpfin 66 es_ES
dc.type.version info:eu-repo/semantics/publishedVersion es_ES
dc.description.volume 9
dc.description.issue 1
dc.identifier.eissn 1989-4147


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