Dense Embeddings of Sigma-Compact, Nowhere Locally Compact Metric Spaces

DOI10.2307/2045587zbMath0587.54021OpenAlexW4238293786MaRDI QIDQ3713140

Philip L. Bowers

Publication date: 1985

Full work available at URL: https://doi.org/10.2307/2045587

zbMATH Keywords

discrete n-cells propertycomplete separable ANR\(\sigma\)-compact, nowhere locally compact metric space

Mathematics Subject Classification ID

Complete metric spaces (54E50) Embedding (54C25) Absolute neighborhood extensor, absolute extensor, absolute neighborhood retract (ANR), absolute retract spaces (general properties) (54C55)

Related Items

Preserving \(Z\)-sets by Dranishnikov's resolution ⋮ A short proof of Toruńczyk’s characterization theorems ⋮ On orthogonal projections of Nöbeling spaces ⋮ Discrete cells properties in the boundary set setting ⋮ Dense embeddings of nowhere locally compact separable metric spaces ⋮ Characterization and topological rigidity of Nöbeling manifolds ⋮ Characterization of spaces admitting a homotopy dense embedding into a Hilbert manifold

Cites Work

• Sigma-compact, nowhere locally compact metric spaces can be densely imbedded in Hilbert space
• Boundary sets in the Hilbert cube
• Discrete cells properties in the boundary set setting
• General Position Properties Satisfied by Finite Products of Dendrites
• Characterizing Hilbert space topology
• On CE-images of the Hubert cube and characterization of Q-manifolds
• A Fake Topological Hilbert Space
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