Subspaces in Hermitean Spaces of Countable Dimension.
Werner Bäni (1983)
Mathematische Zeitschrift
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Werner Bäni (1983)
Mathematische Zeitschrift
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Robert M., Jr. Stephenson (1968/69)
Mathematische Zeitschrift
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Jan van Mill (1977)
Mathematische Zeitschrift
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W.W. Comfort, A.W. Hager (1970)
Mathematische Zeitschrift
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Viorel Vajaitu (1996)
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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...
J. B. Kline (1927)
Mathematische Zeitschrift
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Hatzenbuhler, James, Mattson, Don A. (1979)
International Journal of Mathematics and Mathematical Sciences
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Eric van Douwen, Teodor Przymusiński (1979)
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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...
Manuel Castellet (1972)
Mathematische Zeitschrift
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