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k-normality and products of ordinals
Journal article   Peer reviewed

k-normality and products of ordinals

L Kalantan and P J Szeptycki
Topology and its applications, Vol.123(3), pp.537-545
30/09/2002

Abstract

Mathematics Mathematics, Applied Physical Sciences Science & Technology
A regular topological space is called kappa-normal if any two disjoint regular closed subsets can be separated. In this paper we will show that any product of ordinals is kappa-normal. In addition a generalization of a theorem of van Douwen and Vaughan will be proven and used to give an alternate proof that the product of any countable family of ordinals is kappa-normal. (C) 2001 Elsevier Science B.V. All rights reserved.

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