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Hereditary normality of F-bicompacta

✍ Scribed by A. V. Ivanov


Book ID
105098745
Publisher
SP MAIK Nauka/Interperiodica
Year
1986
Tongue
English
Weight
261 KB
Volume
39
Category
Article
ISSN
0001-4346

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πŸ“œ SIMILAR VOLUMES


On Fσ-δ-normality and hereditary δ-norma
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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 ex

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We show, in particular, that if X is a locally compact second countable space without isolated points, then each point of the remainder of the space /?X is a nonnormality point of PX.

Hereditary normality of Ξ³N-spaces
✍ P. Nyikos; L. Soukup; B. VeličkoviΔ‡ πŸ“‚ Article πŸ“… 1995 πŸ› Elsevier Science 🌐 English βš– 760 KB
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✍ A. Okuyama; S. Watson πŸ“‚ Article πŸ“… 1998 πŸ› Elsevier Science 🌐 English βš– 397 KB

In 1964 K. Morita introduced the concept of P(m)-spaces which characterized the normality of products with any metrizable space of weight < m. Especially, a topological space X is a normal P(No)-space if and only if X x Y is normal for any separable metrizable space Y. Okuyama (1991) introduced a si