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The ε-approximated complete invariance property

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The ε-approximated complete invariance property

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dc.contributor.author García, Gonzalo es_ES
dc.date.accessioned 2022-10-06T10:01:12Z
dc.date.available 2022-10-06T10:01:12Z
dc.date.issued 2022-10-03
dc.identifier.issn 1576-9402
dc.identifier.uri http://hdl.handle.net/10251/187144
dc.description.abstract [EN] In the present paper we introduce a generalization of the complete invariance property (CIP) for metric spaces, which we will call the εapproximated complete invariance property (ε-ACIP). For our goals, we will use the so called degree of nondensifiability (DND) which, roughly speaking, measures (in the specified sense) the distance from a bounded metric space to its class of Peano continua. Our main result relates the ε-ACIP with the DND and, in particular, proves that a densifiable metric space has the ε-ACIP for each ε > 0. Also, some essentials differences between the CIP and the ε-ACIP are shown. es_ES
dc.language Inglés es_ES
dc.publisher Universitat Politècnica de València es_ES
dc.relation.ispartof Applied General Topology es_ES
dc.rights Reconocimiento - No comercial - Sin obra derivada (by-nc-nd) es_ES
dc.subject Complete invariance property (CIP) es_ES
dc.subject Set of fixed points es_ES
dc.subject Peano continua es_ES
dc.subject Degree of nondensifiability es_ES
dc.subject α-dense curves es_ES
dc.title The ε-approximated complete invariance property es_ES
dc.type Artículo es_ES
dc.identifier.doi 10.4995/agt.2022.16641
dc.rights.accessRights Abierto es_ES
dc.description.bibliographicCitation García, G. (2022). The ε-approximated complete invariance property. Applied General Topology. 23(2):453-462. https://doi.org/10.4995/agt.2022.16641 es_ES
dc.description.accrualMethod OJS es_ES
dc.relation.publisherversion https://doi.org/10.4995/agt.2022.16641 es_ES
dc.description.upvformatpinicio 453 es_ES
dc.description.upvformatpfin 462 es_ES
dc.type.version info:eu-repo/semantics/publishedVersion es_ES
dc.description.volume 23 es_ES
dc.description.issue 2 es_ES
dc.identifier.eissn 1989-4147
dc.relation.pasarela OJS\16641 es_ES
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