Abstract:We prove that if there is a model of set-theory which contains no first countable, locally compact, scattered, countably paracompact space $X$, whose Tychonoff square is a Dowker space, then there is an inner model which contains a measurable cardinal.
Keywords: small Dowker space, Dowker product, normality, countable paracompactness, measurable cardinal, Covering Lemma
AMS Subject Classification: 03E35, 03E55, 54D15, 54D20, 54G15