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κ-Lindelöf κ-stratifiable spaces are κ-metrizable

✍ Scribed by M.Jeanne Harris

Publisher
Elsevier Science
Year
1996
Tongue
English
Weight
246 KB
Volume
73
Category
Article
ISSN
0166-8641

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✦ Synopsis

A (locally) n-Lindelof n-stratifiable space is shown to be n-me&able.

Since the (local) K-Lindelof property is a weaker condition than compactness, the result generalizes Ceder's and Vaughan's theorems that compact stratifiable and compact linearly stratifiable spaces are metrizable.

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