Domination by countably compact spaces and hyperspaces
Sign Up to like & getrecommendations! Published in 2019 at "Topology and its Applications"
DOI: 10.1016/j.topol.2018.12.001
Abstract: Abstract For a given space X let L ( X ) be the family of all compact subsets of X. A space X is dominated by the space M if X has an M-ordered compact… read more here.
Keywords: countably compact; domination; domination countably; strongly dominated ... See more keywords
On extensions of countable filterbases to ultrafilters and ultrafilter compactness
Sign Up to like & getrecommendations! Published in 2017 at "Quaestiones Mathematicae"
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