Metacompactness and the class MOBI
J. Chaber (1976)
Fundamenta Mathematicae
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J. Chaber (1976)
Fundamenta Mathematicae
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Vladimir Vladimirovich Tkachuk (1988)
Commentationes Mathematicae Universitatis Carolinae
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Eric van Douwen, Teodor Przymusiński (1979)
Fundamenta Mathematicae
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Eric van Douwen, Michael Wage (1979)
Fundamenta Mathematicae
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Yan-Kui Song (2013)
Open Mathematics
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We prove the following statements: (1) every Tychonoff linked-Lindelöf (centered-Lindelöf, star countable) space can be represented as a closed subspace in a Tychonoff pseudocompact absolutely star countable space; (2) every Hausdorff (regular, Tychonoff) linked-Lindelöf space can be represented as a closed G δ-subspace in a Hausdorff (regular, Tychonoff) absolutely star countable space; (3) there exists a pseudocompact absolutely star countable Tychonoff space having a regular closed...
Baboolal, D., Backhouse, J., Ori, R.G. (1990)
International Journal of Mathematics and Mathematical Sciences
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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...
Janković, Dragan, Konstadilaki, Chariklia (1996)
Mathematica Pannonica
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P. Moody, G. Reed, A. Roscoe, P. Collins (1991)
Fundamenta Mathematicae
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