A subclass of the class MOBI

H. Bennett; J. Chaber

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Metacompactness and the class MOBI

J. Chaber (1976)

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A new way to find compact zero-dimensional first countable preimages of first countable compact spaces

Vladimir Vladimirovich Tkachuk (1988)

Commentationes Mathematicae Universitatis Carolinae

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First countable and countable spaces all compactifications of which contain βN

Eric van Douwen, Teodor Przymusiński (1979)

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Eric van Douwen, Michael Wage (1979)

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Remarks on absolutely star countable spaces

Yan-Kui Song (2013)

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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...

On weaker forms of compactness, Lindelöfness, and countable compactness.

Baboolal, D., Backhouse, J., Ori, R.G. (1990)

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First countable spaces without point-countable π-bases

István Juhász, Lajos Soukup, Zoltán Szentmiklóssy (2007)

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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...

On covering properties by regular closed sets.

Janković, Dragan, Konstadilaki, Chariklia (1996)

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A lattice of conditions on topological spaces II

P. Moody, G. Reed, A. Roscoe, P. Collins (1991)

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