Countable choice and compactness (Q929991)
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| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Countable choice and compactness |
scientific article |
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Countable choice and compactness (English)
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19 June 2008
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In the setting of ZF (= Zermelo-Fraenkel set theory without the axiom of choice), the author investigates compactness conditions in the theory of Banach spaces. Typical result: The axiom of countable choice properly implies that in a uniformly convex Banach space the closed unit ball is compact in the convex topology.
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Axiom of countabhe choice
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Banach space
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uniformly convex
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convex topology
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compact
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