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Skew compact semigroups

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dc.contributor.author Kopperman, Ralph es_ES
dc.contributor.author Robbie, Desmond es_ES
dc.date.accessioned 2017-06-05T08:53:36Z
dc.date.available 2017-06-05T08:53:36Z
dc.date.issued 2003-04-01
dc.identifier.issn 1576-9402
dc.identifier.uri http://hdl.handle.net/10251/82325
dc.description.abstract [EN] Skew compact spaces are the best behaving generalization of compact Hausdorff spaces to non-Hausdorff spaces. They are those (X ; τ ) such that there is another topology τ* on X for which τ V τ* is compact and (X; τ ; τ*) is pairwise Hausdorff; under these conditions, τ uniquely determines τ *, and (X; τ*) is also skew compact. Much of the theory of compact T2 semigroups extends to this wider class. We show: A continuous skew compact semigroup is a semigroup with skew compact topology τ, such that the semigroup operation is continuous τ2→ τ. Each of these contains a unique minimal ideal which is an upper set with respect to the specialization order. A skew compact semigroup which is a continuous semigroup with respect to both topologies is called a de Groot semigroup. Given one of these, we show: It is a compact Hausdorff group if either the operation is cancellative, or there is a unique idempotent and S2 = S. Its topology arises from its subinvariant quasimetrics. Each *-closed ideal ≠ S is contained in a proper open ideal. 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 Continuity space es_ES
dc.subject de Groot (cocompact) dual es_ES
dc.subject de Groot map es_ES
dc.subject de Groop skew compact semigroup es_ES
dc.subject Order-hausdorff space es_ES
dc.subject Skew compact space es_ES
dc.subject Saturated set es_ES
dc.subject Specialization order fo a topology es_ES
dc.title Skew compact semigroups es_ES
dc.type Artículo es_ES
dc.date.updated 2017-06-05T06:50:56Z
dc.identifier.doi 10.4995/agt.2003.2015
dc.rights.accessRights Abierto es_ES
dc.description.bibliographicCitation Kopperman, R.; Robbie, D. (2003). Skew compact semigroups. Applied General Topology. 4(1):133-142. https://doi.org/10.4995/agt.2003.2015 es_ES
dc.description.accrualMethod SWORD es_ES
dc.relation.publisherversion https://doi.org/10.4995/agt.2003.2015 es_ES
dc.description.upvformatpinicio 133 es_ES
dc.description.upvformatpfin 142 es_ES
dc.type.version info:eu-repo/semantics/publishedVersion es_ES
dc.description.volume 4
dc.description.issue 1
dc.identifier.eissn 1989-4147


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