Sigma-compact, nowhere locally compact metric spaces can be densely imbedded in Hilbert space

DOI10.1016/0166-8641(83)90022-6zbMath0516.54013OpenAlexW1980253670MaRDI QIDQ1052671

D. W. Curtis

Publication date: 1983

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

Full work available at URL: https://doi.org/10.1016/0166-8641(83)90022-6

zbMATH Keywords

dense imbeddings in Hilbert spacenowhere locally compact metric spacessigma-compact metric spaces

Mathematics Subject Classification ID

Hilbert and pre-Hilbert spaces: geometry and topology (including spaces with semidefinite inner product) (46C05) Embedding (54C25) Local compactness, (sigma)-compactness (54D45)

Related Items

Dense Embeddings of Sigma-Compact, Nowhere Locally Compact Metric Spaces, Dense embeddings of nowhere locally compact separable metric spaces, Boundary sets in the Hilbert cube, Boundary set imbeddings in the Hilbert cube

Cites Work

• Homeomorphic measures in the Hilbert cube
• Zero-dimensional countable dense unions of Z-sets in the Hilbert cube
• On Extending Homeomorphisms to Frechet Manifolds