On the cartesian product of metric spaces
Roman Sikorski (1947)
Fundamenta Mathematicae
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Displaying similar documents to “Cartesian products of Baire spaces”
On the cartesian product of metric spaces
On the Baire order of concentrated spaces and spaces
Jack Brown (1977)
Fundamenta Mathematicae
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Note on category in Cartesian products of metrizable spaces
Roman Pol (1979)
Fundamenta Mathematicae
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Concerning a certain -algebra in compact Hausdorff spaces
Charles Stegall (1993)
Acta Universitatis Carolinae. Mathematica et Physica
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Projectively Solid Sets and an N-dimensional Piccard's Theorem
Lindgren, W., Szymanski, A. (1998)
Serdica Mathematical Journal
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We discuss functions f : X × Y → Z such that sets of the form f (A × B) have non-empty interiors provided that A and B are non-empty sets of second category and have the Baire property.
On sets with Baire property in topological spaces
S. Basu (2000)
Czechoslovak Mathematical Journal
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Steinhaus [9] prove that if a set has a positive Lebesgue measure in the line then its distance set contains an interval. He obtained even stronger forms of this result in [9], which are concerned with mutual distances between points in an infinite sequence of sets. Similar theorems in the case we replace distance by mutual ratio were established by Bose-Majumdar [1]. In the present paper, we endeavour to obtain some results related to sets with Baire property in locally compact topological...
On the *topology and its application
Hiroshi Hashimoto (1976)
Fundamenta Mathematicae
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Products, the Baire category theorem, and the axiom of dependent choice
Horst Herrlich, Kyriakos Keremedis (1999)
Commentationes Mathematicae Universitatis Carolinae
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In ZF (i.e., Zermelo-Fraenkel set theory without the Axiom of Choice) the following statements are shown to be equivalent: (i) The axiom of dependent choice. (ii) Products of compact Hausdorff spaces are Baire. (iii) Products of pseudocompact spaces are Baire. (iv) Products of countably compact, regular spaces are Baire. (v) Products of regular-closed spaces are Baire. (vi) Products of Čech-complete spaces are Baire. (vii) Products of pseudo-complete spaces are Baire.