Large Cardinals and Small Dowker Spaces
Copyright policy )Large Cardinals and Small Dowker Spaces
We prove that, if there is a model of set-theory which contains no first countable, locally compact, scattered Dowker spaces, then there is an inner model which contains a measurable cardinal.
Large cardinals, Higher separation axioms (completely regular, normal, perfectly or collectionwise normal, etc.), Noncompact covering properties (paracompact, Lindelöf, etc.), core model, small Dowker spaces, measurable cardinals, inner model, Pathological topological spaces, normality, covering lemma, Consistency and independence results, countable paracompactness
Large cardinals, Higher separation axioms (completely regular, normal, perfectly or collectionwise normal, etc.), Noncompact covering properties (paracompact, Lindelöf, etc.), core model, small Dowker spaces, measurable cardinals, inner model, Pathological topological spaces, normality, covering lemma, Consistency and independence results, countable paracompactness
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