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oai:docta.ucm.es:20.500.14352/646212023-12-15T12:20:08Zcom_20.500.14352_14col_20.500.14352_15

Alpha-paracompact subsets and well-situated subsets. Gallego Lupiáñez, Francisco 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. 2023-06-21T02:01:38Z 2023-06-21T02:01:38Z 2023-06-21T02:01:38Z 1987 journal article https://hdl.handle.net/20.500.14352/64621 0918-4732 metadata only access Symposium of General Topology