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Small and large inductive dimension for ideal topological spaces

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Small and large inductive dimension for ideal topological spaces

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dc.contributor.author Sereti, Fotini es_ES
dc.date.accessioned 2021-10-06T07:41:56Z
dc.date.available 2021-10-06T07:41:56Z
dc.date.issued 2021-10-01
dc.identifier.issn 1576-9402
dc.identifier.uri http://hdl.handle.net/10251/173925
dc.description.abstract [EN] Undoubtedly, the small inductive dimension, ind, and the large inductive dimension, Ind, for topological spaces have been studied extensively, developing an important field in Topology. Many of their properties have been studied in details (see for example [1,4,5,9,10,18]). However, researches for dimensions in the field of ideal topological spaces are in an initial stage. The covering dimension, dim, is an exception of this fact, since it is a meaning of dimension, which has been studied for such spaces in [17]. In this paper, based on the notions of the small and large inductive dimension, new types of dimensions for ideal topological spaces are studied. They are called *-small and *-large inductive dimension, ideal small and ideal large inductive dimension. Basic properties of these dimensions are studied and relations between these dimensions are investigated. 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 Small inductive dimension es_ES
dc.subject Large inductive dimension es_ES
dc.subject Ideal topological space es_ES
dc.title Small and large inductive dimension for ideal topological spaces es_ES
dc.type Artículo es_ES
dc.identifier.doi 10.4995/agt.2021.15231
dc.rights.accessRights Abierto es_ES
dc.description.bibliographicCitation Sereti, F. (2021). Small and large inductive dimension for ideal topological spaces. Applied General Topology. 22(2):417-434. https://doi.org/10.4995/agt.2021.15231 es_ES
dc.description.accrualMethod OJS es_ES
dc.relation.publisherversion https://doi.org/10.4995/agt.2021.15231 es_ES
dc.description.upvformatpinicio 417 es_ES
dc.description.upvformatpfin 434 es_ES
dc.type.version info:eu-repo/semantics/publishedVersion es_ES
dc.description.volume 22 es_ES
dc.description.issue 2 es_ES
dc.identifier.eissn 1989-4147
dc.relation.pasarela OJS\15231 es_ES
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