Almost P-spaces
Commun. Korean Math. Soc. 2003 Vol. 18, No. 4, 695-701
Printed December 1, 2003
Chang Il Kim
Dankook University
Abstract : In this paper, we have characterizations of almost P-spaces which are analogous characterizations of P-spaces and we will show that if X is an almost P-space such that it is C$^*$-embedded in every almost P-space in which X is embedded, then $\mid \upsilon \text{X}-\text{X} \mid \le 1$ and that if $\mid \upsilon \text{X}-\text{X} \mid \le 1$ and $\upsilon$X is Lindel\"of, then for any almost P-space Y in which X is dense embedded, then X is C$^*$-embedded in Y.
Keywords : C$^*$-embedding, almost $P$-spaces
MSC numbers : 54C45, 54G05
Downloads: Full-text PDF  

Copyright © Korean Mathematical Society.
(Rm.1109) The first building, 22, Teheran-ro 7-gil, Gangnam-gu, Seoul 06130, Korea
Tel: 82-2-565-0361  | Fax: 82-2-565-0364  | E-mail:   | Powered by INFOrang Co., Ltd