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Displaying similar documents to “D-dimension in non-metrizable spaces.”

Large cardinals and Dowker products

Chris Good (1994)

Commentationes Mathematicae Universitatis Carolinae

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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.

Locally compact perfectly normal spaces may all be paracompact

Paul B. Larson, Franklin D. Tall (2010)

Fundamenta Mathematicae

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We work towards establishing that if it is consistent that there is a supercompact cardinal then it is consistent that every locally compact perfectly normal space is paracompact. At a crucial step we use some still unpublished results announced by Todorcevic. Modulo this and the large cardinal, this answers a question of S. Watson. Modulo these same unpublished results, we also show that if it is consistent that there is a supercompact cardinal, it is consistent that every locally compact...