Biblioteca de la Universidad Complutense de Madrid

Concerning ultraparacompact spaces.

Impacto



Lupianez, Francisco Gallego (1993) Concerning ultraparacompact spaces. Questions and answers in general topology , 11 (2). pp. 145-152. ISSN 0918-4732

URL Oficial: http://qagt.za.org/



Resumen

In this interesting paper a new class of ultraparacompact spaces, the class of so-called (P*) spaces, is introduced and investigated. A zero-dimensional Hausdorff space is called a (P*) space if for every open cover and for every clopen base such that every finite union of elements of the base can be partitioned into elements of the base, there exists a discrete refinement consisting of members of the base. For example, a zero-dimensional dense subspace of Rn is a (P*) space.
The authors provide a characterization of the (P*) property and show that every ultraparacompact
C-scattered space satisfies property (P*). At the end of the paper some open questions are raised.


Tipo de documento:Artículo
Palabras clave:Zero-dimensional space; Ultraparacompact spaces; (P*) space; (P*) property
Materias:Ciencias > Matemáticas > Topología
Código ID:16204
Depositado:10 Sep 2012 11:41
Última Modificación:29 Oct 2013 18:34

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