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On the structure of completely useful topologies

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On the structure of completely useful topologies

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dc.contributor.author Bosi, Gianni es_ES
dc.contributor.author Herden, Gerhard es_ES
dc.date.accessioned 2017-05-31T08:44:12Z
dc.date.available 2017-05-31T08:44:12Z
dc.date.issued 2002-10-01
dc.identifier.issn 1576-9402
dc.identifier.uri http://hdl.handle.net/10251/82078
dc.description.abstract [EN] Let X be an arbitrary set. Then a topology t on X is completely useful if every upper semicontinuous linear preorder on X can be represented by an upper semicontinuous order preserving real-valued function. In this paper we characterize in ZFC (Zermelo-Fraenkel + Axiom of Choice) and ZFC+SH (ZFC + Souslin Hypothesis) completely useful topologies on X. This means, in the terminology of mathematical utility theory, that we clarify the topological structure of any type of semicontinuous utility representation problem. 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 Hereditarily separable topology es_ES
dc.subject Hereditarily Lindelöf-topology es_ES
dc.subject Thin bounded set es_ES
dc.title On the structure of completely useful topologies es_ES
dc.type Artículo es_ES
dc.date.updated 2017-05-30T09:34:53Z
dc.identifier.doi 10.4995/agt.2002.2060
dc.rights.accessRights Abierto es_ES
dc.description.bibliographicCitation Bosi, G.; Herden, G. (2002). On the structure of completely useful topologies. Applied General Topology. 3(2):145-167. https://doi.org/10.4995/agt.2002.2060 es_ES
dc.description.accrualMethod SWORD es_ES
dc.relation.publisherversion https://doi.org/10.4995/agt.2002.2060 es_ES
dc.description.upvformatpinicio 145 es_ES
dc.description.upvformatpfin 167 es_ES
dc.type.version info:eu-repo/semantics/publishedVersion es_ES
dc.description.volume 3
dc.description.issue 2
dc.identifier.eissn 1989-4147


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