Sigma-Compact Locally Convex Metric Linear Spaces Universal for Compacta are Homeomorphic

DOI10.2307/2044085zbMath0511.57009OpenAlexW4233454585MaRDI QIDQ4748829

Jerzy Mogilski, Tadeusz Dobrowolski

Publication date: 1982

Full work available at URL: https://doi.org/10.2307/2044085

zbMATH Keywords

sigma compact locally convex metric linear space containing a Hilbert cubespan of the Hilbert cube in Hilbert space

Mathematics Subject Classification ID

General theory of locally convex spaces (46A03) Topology of topological vector spaces (57N17) Topology of infinite-dimensional manifolds (57N20) Homotopy and topological questions for infinite-dimensional manifolds (58B05)

Related Items

Extending Homeomorphisms and Applications to Metric Linear Spaces Without Completeness, Universal map of \(\sigma\) onto \(\Sigma\) and absorbing sets in the classes of absolute Borelian and projective finite-dimensional spaces, Toward a topological classification of convex sets in infinite-dimensional Fréchet spaces, Absorbing spaces for \(C\)-compacta

Cites Work

• The ambient homeomorphy of an incomplete subspace of infinite-dimensional Hilbert spaces
• Concerning locally homotopy negligible sets and characterization of $l_2$-manifolds
• Estimated extension theorem, homogeneous collections and skeletons and their applications to topological classification of linear metric spaces and convex sets
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