Is it true (or false) that every point in a compact Hausdorff-Space has a countable local base, i.e. a countable fundamental system of neighbourhoods? If this is false, which additional property (except metrizability) would ensure the above conclusion?
2026-04-13 11:47:12.1776080832
Countable fundamental system of neighbourhoods in a compact Hausdorff space?
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