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.
Embeddings of κ-metrizable spaces into function spaces
✍ Scribed by Masami Sakai
- Publisher
- Elsevier Science
- Year
- 1995
- Tongue
- English
- Weight
- 770 KB
- Volume
- 65
- Category
- Article
- ISSN
- 0166-8641
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