The structure of orbits in dynamical systems
J. Aarts (1988)
Fundamenta Mathematicae
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J. Aarts (1988)
Fundamenta Mathematicae
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Aleksander V. Arhangel'skii, Miroslav Hušek (2008)
Commentationes Mathematicae Universitatis Carolinae
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In some sense, a dual property to that of Valdivia compact is considered, namely the property to be embedded as a closed subspace into a complement of a -subproduct of a Tikhonov cube. All locally compact spaces are co-Valdivia spaces (and only those among metrizable spaces or spaces having countable type). There are paracompact non-locally compact co-Valdivia spaces. A possibly new type of ultrafilters lying in between P-ultrafilters and weak P-ultrafilters is introduced. Under Martin...
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.
Teodor Przymusiński (1980)
Fundamenta Mathematicae
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