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On Fσ-δ-normality and hereditary δ-normality

✍ Scribed by A.P. Kombarov

Publisher
Elsevier Science
Year
1999
Tongue
English
Weight
404 KB
Volume
91
Category
Article
ISSN
0166-8641

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✦ Synopsis

It is proved that if all Fg-sets in the product X x Y are &normal, then either X is normal and countably paracompact or all countable subsets of Y are closed. If the product X x Y is hereditarily S-normal, then either X is perfectly normal or all countable subsets of Y are closed. Applications to exp(X), C,(X) and products are given.

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