α-sober spaces via the orthogonal closure operator

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dc.contributor.author	Sousa, Lurdes
dc.date.accessioned	2015-06-30T08:16:55Z
dc.date.available	2015-06-30T08:16:55Z
dc.date.issued	1996
dc.description.abstract	Each ordinal alpha equipped with the upper topology is a T0-space. It is well known that for alpha=2 the reflective hull of alpha in Top0 is the subcategory of sober spaces. Here, we define alpha-sober space for every ordinal alpha in such a way that the reflective hull of alpha in Top0 is the subcategory of alpha-sober spaces. Moreover, we obtain an order-preserving bijective correspondence between a proper class of ordinals and the corresponding (epi)reflective hulls. Our main tool is the concept of orthogonal closure operator, introduced by the authour in a previous paper.	por
dc.identifier.issn	0927-2852
dc.identifier.uri	http://hdl.handle.net/10400.19/2852
dc.language.iso	eng	por
dc.peerreviewed	yes	por
dc.publisher	R. Lowen	por
dc.relation.publisherversion	http://link.springer.com/chapter/10.1007/978-94-009-0263-3_8	por
dc.subject	orthogonal closure operator	por
dc.subject	reflective hull	por
dc.subject	alpha-sober space	por
dc.title	α-sober spaces via the orthogonal closure operator	por
dc.type	journal article
dspace.entity.type	Publication
oaire.citation.conferencePlace	Netherlands	por
oaire.citation.endPage	95	por
oaire.citation.startPage	87	por
oaire.citation.title	Applied Categorical Structures	por
oaire.citation.volume	4	por
rcaap.rights	closedAccess	por
rcaap.type	article	por

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