A new proof of a Theorem of Zarankiewicz

W. Ayres

Displaying similar documents to “A new proof of a Theorem of Zarankiewicz”

A note on countable dense homogeneity

Ben Fitzpatrick (1972)

Fundamenta Mathematicae

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Two countable Hausdorff almost regular spaces every continuous map of which into every Urysohn space is constant.

Tzannes, V. (1991)

International Journal of Mathematics and Mathematical Sciences

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A connected subset of the plane

M. Rudin (1958)

Fundamenta Mathematicae

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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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Tightness and resolvability

Angelo Bella, Viacheslav I. Malykhin (1998)

Commentationes Mathematicae Universitatis Carolinae

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We prove resolvability and maximal resolvability of topological spaces having countable tightness with some additional properties. For this purpose, we introduce some new versions of countable tightness. We also construct a couple of examples of irresolvable spaces.

First countable spaces without point-countable π-bases

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...

A lattice of conditions on topological spaces II

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

Fundamenta Mathematicae

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