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Core compactness and diagonality in spaces of open sets

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Core compactness and diagonality in spaces of open sets

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dc.contributor.author Jordan, Francis es_ES
dc.contributor.author Mynard, Frédéric es_ES
dc.date.accessioned 2017-09-12T12:23:43Z
dc.date.available 2017-09-12T12:23:43Z
dc.date.issued 2011-10-01
dc.identifier.issn 1576-9402
dc.identifier.uri http://hdl.handle.net/10251/87093
dc.description.abstract [EN] We investigate when the space OX of open subsets of a topological space X endowed with the Scott topology is core compact. Such conditions turn out to be related to infraconsonance of X, which in turn is characterized in terms of coincidence of the Scott topology of OX × OX with the product of the Scott topologies of OX at (X,X). On the other hand, we characterize diagonality of OX endowed with the Scott convergence and show that this space can be diagonal without being pretopological. New examples are provided to clarify the relationship between pretopologicity, topologicity and diagonality of this important convergence space. 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 Scott convergence es_ES
dc.subject Scott topology es_ES
dc.subject Upper Kuratowski convergence es_ES
dc.subject Upper Kuratowski topology es_ES
dc.subject Core compact es_ES
dc.subject Diagonal convergence es_ES
dc.subject Pretopology es_ES
dc.subject Consonance es_ES
dc.subject Infraconsonance es_ES
dc.title Core compactness and diagonality in spaces of open sets es_ES
dc.type Artículo es_ES
dc.date.updated 2017-09-12T11:37:38Z
dc.identifier.doi 10.4995/agt.2011.1648
dc.rights.accessRights Abierto es_ES
dc.description.bibliographicCitation Jordan, F.; Mynard, F. (2011). Core compactness and diagonality in spaces of open sets. Applied General Topology. 12(2):143-162. https://doi.org/10.4995/agt.2011.1648 es_ES
dc.description.accrualMethod SWORD es_ES
dc.relation.publisherversion https://doi.org/10.4995/agt.2011.1648 es_ES
dc.description.upvformatpinicio 143 es_ES
dc.description.upvformatpfin 162 es_ES
dc.type.version info:eu-repo/semantics/publishedVersion es_ES
dc.description.volume 12
dc.description.issue 2
dc.identifier.eissn 1989-4147


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