PORTUGALIAE MATHEMATICA Vol. 51, No. 1, pp. 109117 (1994) 

A Study of $K_{W}$spaces and $K_{W}^{*}$spacesCarlos R. BorgesDep. of Mathematics, University of California,Davis, California 956168633  U.S.A. Abstract: Further study of $K_{W}$spaces leads to the introduction of $K_{W}^{*}$spaces. We obtain a characterization of $K_{W}^{*}$spaces in terms of continuous realvalued functions which is dual to a characterization of $K_{0}$spaces. We also get two characterizations of $K_{W}$spaces, one of which exhibits their remarkable similarities with $K_{1}$spaces; a consequence of the latter characterization is that $K_{W}$spaces are collectionwise normal. Keywords: $K_{W}$spaces; $K_{W}^{*}$spaces; usc and lscextenders; continuous extensions. Classification (MSC2000): 54C20; 54C30 Full text of the article:
Electronic version published on: 29 Mar 2001. This page was last modified: 27 Nov 2007.
© 1994 Sociedade Portuguesa de Matemática
