On the openness of functors of \(k\)-nonexpanding and weakly additive functionals

DOI10.1007/s11253-014-0892-0zbMath1319.54003OpenAlexW2469395085MaRDI QIDQ2259479

L. I. Karchevs'ka

Publication date: 4 March 2015

Published in: Ukrainian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11253-014-0892-0

zbMATH Keywords

metricretractcompact Hausdorff spaceTychonoff spacecharacteristic mapweakly additive functionalcontinuous real-valued function(finitely) open functor\(k\)-Lipschitz functionalbicommutative diagram

Mathematics Subject Classification ID

Compactness (54D30) Categorical methods in general topology (54B30) Spaces of linear operators; topological tensor products; approximation properties (46A32)

Cites Work

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• Hyperspace of convex compacta of nonmetrizable compact convex subspaces of locally convex spaces
• Some properties of the functor of non-expanding functionals
• Some Open Mapping Theorems for Measures

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