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Asymptotic structures of cardinals

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Asymptotic structures of cardinals

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dc.contributor.author Petrenko, Oleksandr es_ES
dc.contributor.author Protasov, Igor V. es_ES
dc.contributor.author Slobodianiuk, Sergii es_ES
dc.date.accessioned 2014-10-27T16:39:21Z
dc.date.available 2014-10-27T16:39:21Z
dc.date.issued 2014-10-01
dc.identifier.issn 1576-9402
dc.identifier.uri http://hdl.handle.net/10251/43613
dc.description.abstract [EN] A ballean is a set X endowed with some family F of its subsets, called the balls, in such a way that (X,F)  can be considered as an asymptotic counterpart of a uniform topological space. Given a cardinal k, we define F using a natural order structure on k. We characterize balleans up to coarse equivalence, give the criterions of metrizability and cellularity, calculate the basic cardinal invariant of these balleans. We conclude the paper with discussion of some special ultrafilters on cardinal balleans. es_ES
dc.language Inglés es_ES
dc.publisher Editorial 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 Cardinal balleans es_ES
dc.subject Coarse equivalence es_ES
dc.subject Metrizability es_ES
dc.subject Cellularity es_ES
dc.subject Cardinal invariants es_ES
dc.subject Ultrafilter es_ES
dc.title Asymptotic structures of cardinals es_ES
dc.type Artículo es_ES
dc.date.updated 2014-10-27T16:24:56Z
dc.identifier.doi 10.4995/agt.2014.3109
dc.rights.accessRights Abierto es_ES
dc.description.bibliographicCitation Petrenko, O.; Protasov, IV.; Slobodianiuk, S. (2014). Asymptotic structures of cardinals. Applied General Topology. 15(2):137-146. https://doi.org/10.4995/agt.2014.3109 es_ES
dc.description.accrualMethod SWORD es_ES
dc.relation.publisherversion https://doi.org/10.4995/agt.2014.3109 es_ES
dc.description.upvformatpinicio 137 es_ES
dc.description.upvformatpfin 146 es_ES
dc.type.version info:eu-repo/semantics/publishedVersion es_ES
dc.description.volume 15
dc.description.issue 2
dc.identifier.eissn 1989-4147
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