Probability Measure Functors Preserving the ANR-Property of Metric Spaces

DOI10.2307/2048832zbMath0719.54023OpenAlexW4241208635MaRDI QIDQ5751565

Ta Khac Cu, Nguyen To Nhu

Publication date: 1989

Full work available at URL: https://doi.org/10.2307/2048832

zbMATH Keywords

Hilbert spaceprobability measuresANR-space

Mathematics Subject Classification ID

Probability measures on topological spaces (60B05) Absolute neighborhood extensor, absolute extensor, absolute neighborhood retract (ANR), absolute retract spaces (general properties) (54C55) Topology of infinite-dimensional manifolds (57N20) Manifolds of mappings (58D15) Homotopy and topological questions for infinite-dimensional manifolds (58B05) Dynamical systems and ergodic theory (37-XX)

Related Items

Spaces of measures on metrizable spaces, Vietoris thickenings and complexes have isomorphic homotopy groups, A rigid space homeomorphic to Hilbert space

Cites Work

• Separable complete ANR's admitting a group structure are Hilbert manifolds
• A note on the Frink metrization theorem
• Hyperspaces of compact sets in metric linear spaces
• Investigating the ANR-property of metric spaces
• Characterizing Hilbert space topology
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