Between Martin's Axiom and Souslin's Hypothesis
Kenneth Kunen, Franklin Tall (1979)
Fundamenta Mathematicae
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Displaying similar documents to “Construction of a Hurewicz metric space whose square is not a Hurewicz space”
Between Martin's Axiom and Souslin's Hypothesis
On the combinatorial principle P(c)
Murray Bell (1981)
Fundamenta Mathematicae
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Disasters in metric topology without choice
Eleftherios Tachtsis (2002)
Commentationes Mathematicae Universitatis Carolinae
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We show that it is consistent with ZF that there is a dense-in-itself compact metric space which has the countable chain condition (ccc), but is neither separable nor second countable. It is also shown that has an open dense subspace which is not paracompact and that in ZF the Principle of Dependent Choice, DC, does not imply .
Tychonoff products of super second countable and super separable metric spaces
Horst Herrlich, Kyriakos Keremedis, Eleftherios Tachtsis (2008)
Cahiers de Topologie et Géométrie Différentielle Catégoriques
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On some properties of Hurewicz, Menger, and Rothberger
Arnold Miller, David Fremlin (1988)
Fundamenta Mathematicae
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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.
The Tychonoff product theorem implies the axiom of choice
J. Kelley (1950)
Fundamenta Mathematicae
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The undecidability of the existence of a non-separable normal Moore space satisfying the countable chain condition
T. Przymusiński, F. Tall (1974)
Fundamenta Mathematicae
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