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Representations of bornologies

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Representations of bornologies

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dc.contributor.author Pajoohesh, Homeira es_ES
dc.date.accessioned 2022-05-25T06:44:11Z
dc.date.available 2022-05-25T06:44:11Z
dc.date.issued 2022-04-01
dc.identifier.issn 1576-9402
dc.identifier.uri http://hdl.handle.net/10251/182879
dc.description.abstract [EN] Bornologies abstract the properties of bounded sets of a metric space. But there are unbounded bornologies on a metric space like $\mathcal{P}(\RR)$ with the Euclidean metric. We show that by replacing $[0,\infty)$ with a partially ordered monoid every bornology is the set of bounded subsets of a generalized metric mapped into a partially ordered monoid. We also prove that the set of bornologies on a set is the join completion of the equivalence classes of a relation on the power set of the set. 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 Bornology es_ES
dc.subject Metrizablity es_ES
dc.subject Frame es_ES
dc.title Representations of bornologies es_ES
dc.type Artículo es_ES
dc.identifier.doi 10.4995/agt.2022.16405
dc.rights.accessRights Abierto es_ES
dc.description.bibliographicCitation Pajoohesh, H. (2022). Representations of bornologies. Applied General Topology. 23(1):17-30. https://doi.org/10.4995/agt.2022.16405 es_ES
dc.description.accrualMethod OJS es_ES
dc.relation.publisherversion https://doi.org/10.4995/agt.2022.16405 es_ES
dc.description.upvformatpinicio 17 es_ES
dc.description.upvformatpfin 30 es_ES
dc.type.version info:eu-repo/semantics/publishedVersion es_ES
dc.description.volume 23 es_ES
dc.description.issue 1 es_ES
dc.identifier.eissn 1989-4147
dc.relation.pasarela OJS\16405 es_ES
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