On extensions of countable filterbases to ultrafilters and ultrafilter compactness
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DOI: 10.2989/16073606.2017.1376229
Abstract: Abstract We show in the Zermelo-Fraenkel set theory ZF without the axiom of choice: Given an infinite set X, the Stone space S(X) is ultrafilter compact. For every infinite set X, every countable filterbase of… read more here.
Keywords: every countable; filterbase extends; countably compact; infinite set ... See more keywords