Some remarks on extraresolvable spaces

S. García-Ferreira; R. A. González-Silva;

Book Title: Proceedings of the International Conference on Topology and its Applications (Yokohama, 1999)

Abstract:

We give an example of a countable extraresolvable space that is not strongly extraresolvable. We also prove that Q x omega(1) is strongly extraresolvable, and if X is strongly extraresolvable and nwd(X) = Delta(X) = omega, then X x omega is strongly extraresolvable (omega(1) and omega to are equipped with the discrete topology).

Keywords: extraresolvable; strongly extraresolvable

MSC: 54A35

Journal: Topology and its Applications

ISSN: 0166-8641

Year: 2002

Volume: 122

Number: 1-2

Pages: 151--156

MR Number: 1919298

Revision: 1

DOI: 10.1016/S0166-8641(01)00142-0