| Título: | Alpha-paracompact subsets and well-situated subsets |
| Autores: | Lupianez, Francisco Gallego |
| Tipo de documento: | texto impreso |
| Editorial: | Czechoslovak Mathematical Journal, 1988 |
| Dimensiones: | application/pdf |
| Nota general: | info:eu-repo/semantics/openAccess |
| Idiomas: | |
| Palabras clave: | Estado = Publicado , Materia = Ciencias: Matemáticas: Topología , Tipo = Artículo |
| Resumen: |
In this paper -paracompact and well-situated subsets are further examined. A subset E of a space X is -paracompact if every covering of E by open sets has a refinement by open sets, locally finite in X, which covers E [C. E. Aull, Proc. 2nd Prague Topol. Symp. 1966, 45-51 (1967; Zbl 0162.264)] and is well-situated in X if for every paracompact T2 space Y, E × Y is -paracompact in X × Y [H. W. Martin, Topology Appl.12, 305-313 (1981; Zbl 0483.54011)]. Covering properties of -paracompact and wellsituated ubsets are obtained, -paracompact and well-situated subsets are characterizedin regular spaces, the behavior of - paracompact and well-situated subsets under perfect mappings is studied, and it is shown that the class of all paracompact T2 spaceswhich are well-situated in every paracompact T2 space in which they are embedded as closed subsets, is perfect. |
| En línea: | https://eprints.ucm.es/id/eprint/15337/1/41.pdf |
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