Cellularity of covariant functors

DOI10.1016/S0166-8641(96)00108-3zbMath0913.54005MaRDI QIDQ676963

Vitaly V. Fedorchuk, Stevo Todorčević

Publication date: 1 June 1999

Published in: Topology and its Applications (Search for Journal in Brave)

zbMATH Keywords

hyperspacecellularitynormal functorspace of probability measuressuperextension

Mathematics Subject Classification ID

Hyperspaces in general topology (54B20) Categorical methods in general topology (54B30) Extensions of spaces (compactifications, supercompactifications, completions, etc.) (54D35) Cardinality properties (cardinal functions and inequalities, discrete subsets) (54A25) Product spaces in general topology (54B10)

Related Items (13)

ON THE FUNCTOR OF PROBABILITY MEASURES AND QUANTIZATION DIMENSIONS ⋮ On metric order in spaces of the form \(\mathcal{F}(X)\) ⋮ On seminormal functors and compact spaces of uncountable character ⋮ Some generalization of the Arkhangel'skiĭ-Kombarov theorem for seminormal functors ⋮ The Katětov property for finite degree seminormal functors ⋮ On metrization of the idempotent measures functor and quantization dimensions ⋮ On functional tightness and local density of the space of probability measures ⋮ Generic Banach spaces and generic simplexes ⋮ On covariant functors in the category of compact Hausdorff spaces ⋮ A generalization of Gruenhage's example ⋮ Maximal linked systems ⋮ Nonincrease of density and weak density under weakly normal functors ⋮ On quantization dimensions of idempotent probability measures

Cites Work

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• The Suslin property and open mappings
• The Suslin number of the functor of probability measures
• Functors and uncountable powers of compacta
• Partition Problems in Topology

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