- -

Bombay hypertopologies

RiuNet: Institutional repository of the Polithecnic University of Valencia

Share/Send to

Cited by

Statistics

Bombay hypertopologies

Show simple item record

Files in this item

dc.contributor.author Di Maio, Giuseppe es_ES
dc.contributor.author Meccariello, Enrico es_ES
dc.contributor.author Naimpally, Somashekhar es_ES
dc.date.accessioned 2017-06-05T11:24:23Z
dc.date.available 2017-06-05T11:24:23Z
dc.date.issued 2003-10-01
dc.identifier.issn 1576-9402
dc.identifier.uri http://hdl.handle.net/10251/82380
dc.description.abstract [EN] Recently it was shown that, in a metric space, the upper Wijsman convergence can be topologized with the introduction of a new far-miss topology. The resulting Wijsman topology is a mixture of the ball topology and the proximal ball topology. It leads easily to the generalized or g-Wijsman topology on the hyperspace of any topological space with a compatible LO-proximity and a cobase (i.e. a family of closed subsets which is closed under finite unions and which contains all singletons). Further generalization involving a topological space with two compatible LO-proximities and a cobase results in a new hypertopology which we call the Bombay topology. The generalized locally finite Bombay topology includes the known hypertopologies as special cases and moreover it gives birth to many new hypertopologies. We show how it facilitates comparison of any two hypertopologies by proving one simple result of which most of the existing results are easy consequences. 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 Hyperspace es_ES
dc.subject Wijsman topology es_ES
dc.subject Ball topology es_ES
dc.subject Proximal ball topology es_ES
dc.subject Far-miss topology es_ES
dc.subject hit-and-miss topology es_ES
dc.subject Bombay topology es_ES
dc.subject Vietoris topology es_ES
dc.subject Fell topology es_ES
dc.subject Proximal locally finite topology es_ES
dc.subject ∆-topology es_ES
dc.subject Proximal locally finite ∆-topology es_ES
dc.title Bombay hypertopologies es_ES
dc.type Artículo es_ES
dc.date.updated 2017-06-05T09:13:25Z
dc.identifier.doi 10.4995/agt.2003.2042
dc.rights.accessRights Abierto es_ES
dc.description.bibliographicCitation Di Maio, G.; Meccariello, E.; Naimpally, S. (2003). Bombay hypertopologies. Applied General Topology. 4(2):421-444. doi:10.4995/agt.2003.2042. es_ES
dc.description.accrualMethod SWORD es_ES
dc.relation.publisherversion https://doi.org/10.4995/agt.2003.2042 es_ES
dc.description.upvformatpinicio 421 es_ES
dc.description.upvformatpfin 444 es_ES
dc.type.version info:eu-repo/semantics/publishedVersion es_ES
dc.description.volume 4
dc.description.issue 2
dc.identifier.eissn 1989-4147


This item appears in the following Collection(s)

Show simple item record