Characterization of spaces admitting a homotopy dense embedding into a Hilbert manifold

DOI10.1016/S0166-8641(97)00117-XzbMath0967.57021MaRDI QIDQ1295269

Taras Banakh

Publication date: 3 September 2001

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

zbMATH Keywords

discrete \(n\)-cells propertyhomotopy dense setlocally homotopy negligible set

Mathematics Subject Classification ID

Absolute neighborhood extensor, absolute extensor, absolute neighborhood retract (ANR), absolute retract spaces (general properties) (54C55) Topology of infinite-dimensional manifolds (57N20) Higher-dimensional local connectedness (54F35)

Related Items (7)

Topological groups and convex sets homeomorphic to non-separable Hilbert spaces ⋮ Open problems in topology. ⋮ Characterizing non-separable sigma-locally compact infinite-dimensional manifolds and its applications ⋮ Normal systems over ANR's, rigid embeddings and nonseparable absorbing sets ⋮ Hyperspaces of separable Banach spaces with the Wijsman topology ⋮ Open problems in topology, seventh status report ⋮ Characterizations of manifolds modeled on absorbing sets in non-separable Hilbert spaces and the discrete cells property

Cites Work

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• Dense embeddings of nowhere locally compact separable metric spaces
• Boundary sets in the Hilbert cube
• Rays and the fixed point property in noncompact spaces
• Absolute extensors in dimensionnand dimension-raisingn-soft maps
• Dense Embeddings of Sigma-Compact, Nowhere Locally Compact Metric Spaces
• Characterizing Hilbert space topology
• Concerning locally homotopy negligible sets and characterization of $l_2$-manifolds
• Limitation Topologies on Function Spaces
• Uniform Local Connectedness and Contractibility

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