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math.GN2008
Products of straight spaces
Alessandro Berarducci, Dikran Dikranjan, Jan Pelant
A metric space X is straight if for each finite cover of X by closed sets, and for each real valued function f on X, if f is uniformly continuous on each set of the cover, then f i…
math.GN2008
A non-separable Christensen's theorem and set tri-quotient maps
S. Nedev, J. Pelant, V. Valov
For every space let be the set of all compact subsets of . Christensen \cite{c:74} proved that if are separable metrizable spaces and $F\colon\mathcal…
math.GN2002★ 1 cited
The Locally Fine Coreflection and Normal Covers in the Products of Partition-complete Spaces
Aarno Hohti, Miroslav Husek, Jan Pelant
We prove that the countable product of supercomplete spaces having a countable closed cover consisting of partition-complete subspaces is supercomplete with respect to its metric-f…