Normality and paracompactness in finite and countable Cartesian products
Teodor Przymusiński (1980)
Fundamenta Mathematicae
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Teodor Przymusiński (1980)
Fundamenta Mathematicae
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P. Moody, G. Reed, A. Roscoe, P. Collins (1991)
Fundamenta Mathematicae
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Ernest A. Michael (1971)
Compositio Mathematica
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Aull, C. E.
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István Juhász, Lajos Soukup, Zoltán Szentmiklóssy (2007)
Fundamenta Mathematicae
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We answer several questions of V. Tkachuk [Fund. Math. 186 (2005)] by showing that ∙ there is a ZFC example of a first countable, 0-dimensional Hausdorff space with no point-countable π-base (in fact, the minimum order of a π-base of the space can be made arbitrarily large); ∙ if there is a κ-Suslin line then there is a first countable GO-space of cardinality κ⁺ in which the order of any π-base is at least κ; ∙ it is consistent to have a...
Vladimir Vladimirovich Tkachuk (1988)
Commentationes Mathematicae Universitatis Carolinae
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H. P. Tan (1973)
Publications de l'Institut Mathématique
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