Paracompact box products in forcing extensions
Judy Roitman (1979)
Fundamenta Mathematicae
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Displaying similar documents to “Large cardinals and Dowker products”
Paracompact box products in forcing extensions
Addition theorems and -spaces
Aleksander V. Arhangel'skii, Raushan Z. Buzyakova (2002)
Commentationes Mathematicae Universitatis Carolinae
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It is proved that if a regular space is the union of a finite family of metrizable subspaces then is a -space in the sense of E. van Douwen. It follows that if a regular space of countable extent is the union of a finite collection of metrizable subspaces then is Lindelöf. The proofs are based on a principal result of this paper: every space with a point-countable base is a -space. Some other new results on the properties of spaces which are unions of a finite collection of...
Subparacompactness in locally nice spaces
Nobuyuki Kemoto (1989)
Fundamenta Mathematicae
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Separation properties in Moore spaces
William Fleissner (1978)
Fundamenta Mathematicae
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Normality of product spaces
Amer Bešlagić, Keiko Chiba (1987)
Fundamenta Mathematicae
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Normality and paracompactness in finite and countable Cartesian products
Teodor Przymusiński (1980)
Fundamenta Mathematicae
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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 At a crucial step we use some still unpublished results announced by Todorcevic.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 Modulo these same unpublished results, we also show that if it is consistent that there is a supercompact cardinal, it is consistent that every locally compact...