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Duality of locally quasi-convex convergence groups

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Duality of locally quasi-convex convergence groups

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dc.contributor.author Sharma, Pranav es_ES
dc.date.accessioned 2021-04-16T09:17:09Z
dc.date.available 2021-04-16T09:17:09Z
dc.date.issued 2021-04-01
dc.identifier.issn 1576-9402
dc.identifier.uri http://hdl.handle.net/10251/165252
dc.description.abstract [EN] In the realm of the convergence spaces, the generalisation of topological groups is the convergence groups, and the corresponding extension of the Pontryagin duality is the continuous duality. We prove that local quasi-convexity is a necessary condition for a convergence group to be c-reflexive. Further, we prove that every character group of a convergence group is locally quasi-convex. es_ES
dc.description.sponsorship We thank Prof. H.-P. Butzmann and the anonymous reviewers for their many insightful comments and suggestions. 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 Continuous duality es_ES
dc.subject Convergence groups es_ES
dc.subject Local quasi-convexity es_ES
dc.subject Pontryagin duality es_ES
dc.title Duality of locally quasi-convex convergence groups es_ES
dc.type Artículo es_ES
dc.identifier.doi 10.4995/agt.2021.14585
dc.rights.accessRights Abierto es_ES
dc.description.bibliographicCitation Sharma, P. (2021). Duality of locally quasi-convex convergence groups. Applied General Topology. 22(1):193-198. https://doi.org/10.4995/agt.2021.14585 es_ES
dc.description.accrualMethod OJS es_ES
dc.relation.publisherversion https://doi.org/10.4995/agt.2021.14585 es_ES
dc.description.upvformatpinicio 193 es_ES
dc.description.upvformatpfin 198 es_ES
dc.type.version info:eu-repo/semantics/publishedVersion es_ES
dc.description.volume 22 es_ES
dc.description.issue 1 es_ES
dc.identifier.eissn 1989-4147
dc.relation.pasarela OJS\14585 es_ES
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