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Cauchy action on filter spaces

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Cauchy action on filter spaces

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dc.contributor.author Rath, N. es_ES
dc.date.accessioned 2019-04-04T09:34:37Z
dc.date.available 2019-04-04T09:34:37Z
dc.date.issued 2019-04-01
dc.identifier.issn 1576-9402
dc.identifier.uri http://hdl.handle.net/10251/118969
dc.description.abstract [EN] A Cauchy group (G,D,·) has a Cauchy-action on a filter space (X,C), if it acts in a compatible manner. A new filter-based method is proposed in this paper for the notion of group-action, from which the properties of this action such as transitiveness and its compatibility with various modifications of the G-space (X,C) are determined. There is a close link between the Cauchy action and the induced continuous action on the underlying G-space, which is explored here. In addition, a possible extension of a Cauchy-action to the completion of the underlying G-space is discussed. These new results confirm and generalize some of the properties of group action in a topological context. 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 Continuous action es_ES
dc.subject Cauchy map es_ES
dc.subject G-space es_ES
dc.subject Filter space and its modifications es_ES
dc.subject Completions es_ES
dc.title Cauchy action on filter spaces es_ES
dc.type Artículo es_ES
dc.date.updated 2019-04-04T06:30:02Z
dc.identifier.doi 10.4995/agt.2019.10490
dc.rights.accessRights Abierto es_ES
dc.description.bibliographicCitation Rath, N. (2019). Cauchy action on filter spaces. Applied General Topology. 20(1):177-191. https://doi.org/10.4995/agt.2019.10490 es_ES
dc.description.accrualMethod SWORD es_ES
dc.relation.publisherversion https://doi.org/10.4995/agt.2019.10490 es_ES
dc.description.upvformatpinicio 177 es_ES
dc.description.upvformatpfin 191 es_ES
dc.type.version info:eu-repo/semantics/publishedVersion es_ES
dc.description.volume 20
dc.description.issue 1
dc.identifier.eissn 1989-4147
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