Repositorio Atenea de la Facultad de Ciencias, UNAM >
Repositorio Ciencias >
FACULTAD DE CIENCIAS >
Matemáticas >
Please use this identifier to cite or link to this item:
http://hdl.handle.net/11154/2620
|
Title: | p-pseudocompactness and related topics in topological spaces |
Authors: | Sanchis, M Tamariz, A |
Issue Date: | 1999 |
Abstract: | We prove some basic properties of p-bounded subsets (p epsilon omega) in terms of z-ultrafilters and families of continuous functions, We analyze the relations between p-pseudocompactness with other pseudocompact like-properties as p-compactness and alpha-pseudocompactness where alpha is a cardinal number We give an example of a sequentially compact ultrapseudocompact alpha-pseudocompact space which is not ultracompact, and we also give an example of an ultrapseudocompact totally countably compact alpha-pseudocompact space which is not q-compact for any q epsilon omega, answering affirmatively to a question posed by S. García-Ferreira and Kocinac (1996). We show the distribution law cl(gamma(XxY)) (A x B) = cl(gamma X) A x cl(gamma Y)B, where gamma Z denotes the Dieudonne completion of Z, for p-bounded subsets and we generalize the classical Glisckberg Theorem on pseudocompactness in the realm of p-boundedness, These results are applied to study the degree of pseudocompactness in the product of p-bounded subsets. (C) 1999 Published by Elsevier Science B.V. All rights reserved. |
URI: | http://hdl.handle.net/11154/2620 |
ISSN: | 0166-8641 |
Appears in Collections: | Matemáticas
|
Files in This Item:
There are no files associated with this item.
|
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.
|