Abstract:We study in ZF and in the class of $T_{1}$ spaces the web of implications/\break non-implications between the notions of pseudocompactness, light compactness, countable compactness and some of their ZFC equivalents.
Keywords: axiom of choice; countably compact; lightly compact topological\break space; pseudocompact topological space
DOI: DOI 10.14712/1213-7243.2015.256
AMS Subject Classification: 54D30 03E25