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Products of Weak P ‐Spaces and K ‐Analytic Spaces
Author(s) -
Yamazaki Kaori
Publication year - 2007
Publication title -
mathematika
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.955
H-Index - 29
eISSN - 2041-7942
pISSN - 0025-5793
DOI - 10.1112/s002557930000022x
Subject(s) - paracompact space , mathematics , normality , space (punctuation) , product (mathematics) , pure mathematics , discrete mathematics , combinatorics , geometry , hausdorff space , statistics , linguistics , philosophy
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.