Archive for Mathematical Logic 40 (8):569-580 (2001)

Abstract
We show that some well known theorems in topology may not be true without the axiom of choice
Keywords Key words or phrases: Axiom of Choice – Countable axiom of choice – Countable axiom of Multiple choice – Separable – Compact – Countably compact – First countable – Second countable – Metrizable spaces
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DOI 10.1007/s001530100094
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