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Products of Weak P-Spaces and K-Analytic Spaces

Part of:Maps and general types of spaces defined by mapsBasic constructions

Published online by Cambridge University Press:  21 December 2009

Kaori Yamazaki
Kaori Yamazaki
Affiliation:
Institute of Mathematics, University of Tsukuba, Tsukuba, Ibaraki 305–8571, Japan.
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Abstract

Let κ be an infinite cardinal. Okuyama showed that the product space X ×i Y of a paracompact weak P (ω)-space X and a K-analytic space Y is paracompact. In this paper, by using the notion of κ-K-analytic spaces which is basically defined by Hansell, Jayne and Rogers, the above result is extended and some other results are given related to normality, collectionwise normality and covering properties on products. An answer to a question of Okuyama and Watson is also given, as well as some applications to extensions of continuous functions on these products.

MSC classification

Secondary:54B10: Product spaces54C20: Extension of maps

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Type
Research Article
Information
Mathematika , Volume 54 , Issue 1-2 , December 2007, pp. 67 - 81
Copyright
Copyright © University College London 2007

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