On topological embeddings of linear metric spaces
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Publication:1359490
DOI10.1007/S002080050061zbMath0877.46001OpenAlexW1969768269MaRDI QIDQ1359490
Publication date: 1 June 1998
Published in: Mathematische Annalen (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s002080050061
linear subspacecountable product of real linesnot homeomorphic to a normed spacenot homeomorphic to any convex subset
Hilbert and pre-Hilbert spaces: geometry and topology (including spaces with semidefinite inner product) (46C05) General theory of locally convex spaces (46A03) Topology of topological vector spaces (57N17) Convex sets in topological linear spaces; Choquet theory (46A55)
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Open problems in topology. ⋮ Affine and homeomorphic embeddings into $\ell ^2$ ⋮ Toward a topological classification of convex sets in infinite-dimensional Fréchet spaces ⋮ Open problems in topology, seventh status report
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