| Título: | Alpha-paracompact subsets and well-situated subsets. |
| Autores: | Lupianez, Francisco Gallego |
| Tipo de documento: | texto impreso |
| Editorial: | Symposium of General Topology, 1987 |
| Palabras clave: | Estado = Publicado , Materia = Ciencias: Matemáticas: Topología , Tipo = Artículo |
| Resumen: |
We study -paracompact subsets, defined by C. E. Aull. Here we obtain some covering properties of -paracompact subsets which are similar to properties of paracompact spaces. In particular, we characterize -paracompact subsets in regular spaces. Moreover we study the behaviour of -paracompact subsets under perfect mappings. Then we consider R. Telg´arsky’s well-situated subsets. The properties of -paracompact subsets yield properties of well-situated subsets. Well-situated subsets are related to Tamano’s problem (i.e.: to give an intrinsic description of those T2 spaces X such that X × Y is paracompact for each paracompact T2 space Y) which remains open. Finally, we solve a problem of Telg´arsky establishing that: In the realm of T2 spaces,the class is perfect. |
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