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Index boundedness and uniform connectedness of space of the G-permutation degree

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Index boundedness and uniform connectedness of space of the G-permutation degree

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dc.contributor.author Beshimov, R. B. es_ES
dc.contributor.author Georgiou, Dimitrios N. es_ES
dc.contributor.author Zhuraev, R. M. es_ES
dc.date.accessioned 2021-10-06T07:46:04Z
dc.date.available 2021-10-06T07:46:04Z
dc.date.issued 2021-10-01
dc.identifier.issn 1576-9402
dc.identifier.uri http://hdl.handle.net/10251/173928
dc.description.abstract [EN] In this paper the properties of space of the G-permutation degree, like: weight, uniform connectedness and index boundedness are studied. It is proved that: (1) If (X, U) is a uniform space, then the mapping π s n, G : (X n , U n ) → (SP n GX, SP n GU) is uniformly continuous and uniformly open, moreover w (U) = w (SP n GU); (2) If the mapping f : (X, U) → (Y, V) is a uniformly continuous (open), then the mapping SP n Gf : (SP n GX, SP n GU) → (SP n GY, SP n GV) is also uniformly continuous (open); (3) If the uniform space (X, U) is uniformly connected, then the uniform space (SP n GX, SP n GU) is also uniformly connected. 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 G-permutation degree space es_ES
dc.subject Uniform space es_ES
dc.subject Uniform connectedness es_ES
dc.subject Index boundedness of uniform space es_ES
dc.subject Uniform continuity es_ES
dc.title Index boundedness and uniform connectedness of space of the G-permutation degree es_ES
dc.type Artículo es_ES
dc.identifier.doi 10.4995/agt.2021.15566
dc.rights.accessRights Abierto es_ES
dc.description.bibliographicCitation Beshimov, RB.; Georgiou, DN.; Zhuraev, RM. (2021). Index boundedness and uniform connectedness of space of the G-permutation degree. Applied General Topology. 22(2):447-459. https://doi.org/10.4995/agt.2021.15566 es_ES
dc.description.accrualMethod OJS es_ES
dc.relation.publisherversion https://doi.org/10.4995/agt.2021.15566 es_ES
dc.description.upvformatpinicio 447 es_ES
dc.description.upvformatpfin 459 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\15566 es_ES
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