Abstract
The theorem, that σ-compact spaces are Lindelöf, is equivalent to the countable axiom of choice. Variants of this theorem are compared with weak versions of the axiom of choice.
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Brunner, N. σ-kompakte Räume. Manuscripta Math 38, 375–379 (1982). https://doi.org/10.1007/BF01170932
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DOI: https://doi.org/10.1007/BF01170932