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dc.contributor.author	Di Caprio, Debora	es_ES
dc.contributor.author	Watson, Stephen	es_ES
dc.date.accessioned	2017-06-05T11:15:20Z
dc.date.available	2017-06-05T11:15:20Z
dc.date.issued	2003-10-01
dc.identifier.issn	1576-9402
dc.identifier.uri	http://hdl.handle.net/10251/82377
dc.description.abstract	[EN] Bertacchi and Costantini obtained some conditions equivalent to the existence of continuous selections for the Wijsman hyperspace of ultrametric Polish spaces. We introduce a new class of hypertopologies, the macro-topologies. Both the Wijsman topology and the Vietoris topology belong to this class. We show that subject to natural conditions, the base space admits a closed order such that the minimum map is a continuous selection for every macro-topology. In the setting of Polish spaces, these conditions are substantially weaker than the ones given by Bertacchi and Costantini. In particular, we conclude that Polish spaces satisfying these conditions can be endowed with a compatible order and that the minimum function is a continuous selection for the Wijsman topology, just as it is for [0; 1]. This also solves a problem implicitely raised in Bertacchi and Costantini's paper.	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	Selection	es_ES
dc.subject	Vietoris topology	es_ES
dc.subject	Wijsman topology	es_ES
dc.subject	Macro-topology	es_ES
dc.subject	∆-topology	es_ES
dc.subject	Ordered space	es_ES
dc.subject	Compatible order	es_ES
dc.subject	Sub-compatible order	es_ES
dc.subject	Extra-dense set	es_ES
dc.subject	Lexor	es_ES
dc.subject	Complete lexor	es_ES
dc.subject	Polish space	es_ES
dc.subject	Star-set	es_ES
dc.subject	n-coordinated-function	es_ES
dc.subject	n-coordinated-set	es_ES
dc.title	Orderability and continuous selections for Wijsman and Vietoris hyperspaces	es_ES
dc.type	Artículo	es_ES
dc.date.updated	2017-06-05T09:23:33Z
dc.identifier.doi	10.4995/agt.2003.2039
dc.rights.accessRights	Abierto	es_ES
dc.description.bibliographicCitation	Di Caprio, D.; Watson, S. (2003). Orderability and continuous selections for Wijsman and Vietoris hyperspaces. Applied General Topology. 4(2):361-376. https://doi.org/10.4995/agt.2003.2039	es_ES
dc.description.accrualMethod	SWORD	es_ES
dc.relation.publisherversion	https://doi.org/10.4995/agt.2003.2039	es_ES
dc.description.upvformatpinicio	361	es_ES
dc.description.upvformatpfin	376	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

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• Applied General Topology - Vol 04, No 2 (2003) [22]
  

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