Multicoherence and compactifications
Let X be a connected, locally connected Tychonoff space. Let r(X) (respectively r(0)(X)) denote the multicoherence degree (respectively open multicoherence degree) of X. Let beta X be the Stone-Cech compactification of X and, if X is locally compact, let gamma X be the Freudenthal compactification o...
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| Tipo de recurso: | artículo |
| Estado: | Versión publicada |
| Fecha de publicación: | 1996 |
| País: | México |
| Institución: | Universidad Nacional Autónoma de México |
| Repositorio: | Sistema de Información de la Facultad de Ciencias, UNAM |
| OAI Identifier: | oai:repositorio.fciencias.unam.mx:11154/2925 |
| Acceso en línea: | http://hdl.handle.net/11154/2925 |
| Access Level: | acceso abierto |
| Palabra clave: | Mathematics, Applied Mathematics multicoherence perfect extensions Stone-Cech compactification Freudenthal compactification |
| Sumario: | Let X be a connected, locally connected Tychonoff space. Let r(X) (respectively r(0)(X)) denote the multicoherence degree (respectively open multicoherence degree) of X. Let beta X be the Stone-Cech compactification of X and, if X is locally compact, let gamma X be the Freudenthal compactification of X. In this paper, we prove that if X is normal, then r(X) = r(beta X) and r(0)(X) = r(0)(beta X) and if X is locally compact, then r(gamma X) = min{r(Z): Z is a compactification of X}. |
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