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Introduction to generalized topological spaces

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Introduction to generalized topological spaces

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dc.contributor.author Zvina, Irina es_ES
dc.date.accessioned 2017-09-11T12:20:50Z
dc.date.available 2017-09-11T12:20:50Z
dc.date.issued 2011-04-01
dc.identifier.issn 1576-9402
dc.identifier.uri http://hdl.handle.net/10251/86979
dc.description.abstract [EN] We introduce the notion of generalized topological space (gt-space). Generalized topology of gt-space has the structure of frame and is closed under arbitrary unions and finite intersections modulo small subsets. The family of small subsets of a gt-space forms an ideal that is compatible with the generalized topology. To support the definition of gt-space we prove the frame embedding modulo compatible ideal theorem. Weprovide some examples of gt-spaces and study key topological notions (continuity, separation axioms, cardinal invariants) in terms of generalized spaces. 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 Generalized topology es_ES
dc.subject Generalized topological space es_ES
dc.subject gt-space es_ES
dc.subject Compatible ideal es_ES
dc.subject Modulo ideal es_ES
dc.subject Frame es_ES
dc.subject Order generated by ideal es_ES
dc.title Introduction to generalized topological spaces es_ES
dc.type Artículo es_ES
dc.date.updated 2017-09-11T11:49:58Z
dc.identifier.doi 10.4995/agt.2011.1701
dc.rights.accessRights Abierto es_ES
dc.description.bibliographicCitation Zvina, I. (2011). Introduction to generalized topological spaces. Applied General Topology. 12(1):49-66. doi:10.4995/agt.2011.1701. es_ES
dc.relation.publisherversion https://doi.org/10.4995/agt.2011.1701 es_ES
dc.description.upvformatpinicio 49 es_ES
dc.description.upvformatpfin 66 es_ES
dc.type.version info:eu-repo/semantics/publishedVersion es_ES
dc.description.volume 12
dc.description.issue 1
dc.identifier.eissn 1989-4147


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