L-space without any uncountable 0-dimensiolan subspace

K. Ciesielski

Displaying similar documents to “L-space without any uncountable 0-dimensiolan subspace”

Index of volumes 71-80 (1997-1999)

(1999)

Colloquium Mathematicae

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Tightness and π-character in centered spaces

Murray Bell (1999)

Colloquium Mathematicae

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We continue an investigation into centered spaces, a generalization of dyadic spaces. The presence of large Cantor cubes in centered spaces is deduced from tightness considerations. It follows that for centered spaces X, πχ(X) = t(X), and if X has uncountable tightness, then t(X) = supκ : $2^{κ}$ ⊂ X. The relationships between 9 popular cardinal functions for the class of centered spaces are justified. An example is constructed which shows, unlike the dyadic and polyadic properties, that the...

Is the product of ccc spaces a ccc space?

Nina M. Roy (1989)

Publicacions Matemàtiques

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In this expository paper it is shown that Martin's Axiom and the negation of the Continuum Hypothesis imply that the product of ccc spaces is a ccc space. The Continuum Hypothesis is then used to construct the Laver-Gavin example of two ccc spaces whose product is not a ccc space.

On the combinatorial principle P(c)

Murray Bell (1981)

Fundamenta Mathematicae

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On hereditarily α-Lindelöf and α-separable spaces, II

A. Hajnal, Istvan Juhász (1974)

Fundamenta Mathematicae

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Two set-theoretic problems in topology

Juhász, I.

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A non-Tychonoff relatively normal subspace

Ellen Mir (2007)

Commentationes Mathematicae Universitatis Carolinae

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This paper presents a new consistent example of a relatively normal subspace which is not Tychonoff.