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Keywords:
axiom of choice; countably compact; lightly compact topological space; pseudocompact topological space
axiom of choice; countably compact; lightly compact topological space; pseudocompact topological space
Summary:
We study in ZF and in the class of $T_{1}$ spaces the web of implications/ non-implications between the notions of pseudocompactness, light compactness, countable compactness and some of their ZFC equivalents.
References:
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