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Weakly normal topological spaces and products

โœ Scribed by Andrew N. Yakivchik

Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
458 KB
Volume
76
Category
Article
ISSN
0166-8641

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โœฆ Synopsis

The behavior of the properly of weak normality with respect to topological products is examined versus normality. The lbllowiag generalization of TamanG's theorem is proved: if X x Z~X is weakly normal then X is paracompact. Some ve~ions of Kat6tov's theorem are obtained. In particular, it is proved that if X x Y is hereditarily weakly normal then either each countable subset of X is closed or each convergent free sequence in Y has countable cofinality.

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