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A Criterion for Compactness in Metric Spaces?

✍ Scribed by Douglas S. Bridges

Publisher
John Wiley and Sons
Year
1979
Tongue
English
Weight
131 KB
Volume
25
Category
Article
ISSN
0044-3050

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πŸ“œ SIMILAR VOLUMES

A Characterization of a Certain Class of
A Characterization of a Certain Class of Compact Metric Spaces
✍ U. Feiste πŸ“‚ Article πŸ“… 1978 πŸ› John Wiley and Sons 🌐 English βš– 226 KB

## Abstract Compact metric spaces Ο‡ of such a kind, that 𝔹~__f__~ =𝔹(__X__), are characterized, 𝔹(__X__) is the σ‐field of BOREL sets and 𝔹~__f__~(__X__) is the field generated by all open subset of __X__. Our main result is Theorem 5: If Ο‡ is a compact metric space, then the following conditions a