Remarks on dyadic spaces
R. Engelking, A. Pełczyński (1963)
Colloquium Mathematicae
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Displaying similar documents to “Remarks on Cartesian products”
Remarks on dyadic spaces
Generalized dyadic spaces
Murray Bell (1985)
Fundamenta Mathematicae
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Some theorems of set theory and their topological consequences
R. Engelking, M. Karłowicz (1965)
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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.
On function spaces of compact subspaces of Σ-products of the real line
K. Alster, Roman Pol (1980)
Fundamenta Mathematicae
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Cartesian products and dyadic spaces
R. Engelking (1965)
Fundamenta Mathematicae
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On functions defined on Cartesian products
R. Engelking (1966)
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On clopen sets in Cartesian products
Raushan Z. Buzyakova (2001)
Commentationes Mathematicae Universitatis Carolinae
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The results concern clopen sets in products of topological spaces. It is shown that a clopen subset of the product of two separable metrizable (or locally compact) spaces is not always a union of clopen boxes. It is also proved that any clopen subset of the product of two spaces, one of which is compact, can always be represented as a union of clopen boxes.