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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