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On clopen sets in Cartesian products

Raushan Z. Buzyakova (2001)

Commentationes Mathematicae Universitatis Carolinae

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.

On cohesive mappings

Zaremba, D. (1977)

General topology and its relations to modern analysis and algebra IV

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