The axiom of choice holds iff maximal closed filters exist

Mathematical Logic Quarterly 49 (3):323 (2003)
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Abstract

It is shown that in ZF set theory the axiom of choice holds iff every non empty topological space has a maximal closed filter

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References found in this work

On some Theorems Equivalent with the Axiom of Choice.Bernhard Banaschewski - 1961 - Mathematical Logic Quarterly 7 (17‐18):279-282.
On some Theorems Equivalent with the Axiom of Choice.Bernhard Banaschewski - 1961 - Mathematical Logic Quarterly 7 (17-18):279-282.

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