Characterizing Hilbert space topology
H. Toruńczyk (1981)
Fundamenta Mathematicae
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Displaying similar documents to “Topological groups and convex sets homeomorphic to non-separable Hilbert spaces”
Characterizing Hilbert space topology
Fake topological Hilbert spaces and characterizations of dimension in terms of negligibility
Jan Dijkstra, Jan van Mill (1985)
Fundamenta Mathematicae
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A pseudo-interior of
J. Van Mill (1978)
Compositio Mathematica
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Remarks on Anderson's paper "On topological infinite deficiency"
H. Toruńczyk (1970)
Fundamenta Mathematicae
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On Cartesian factors and the topological classification of linear metric spaces
H. Toruńczyk (1975)
Fundamenta Mathematicae
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Characterizing Hilbert space topology in terms of strong negligibility
Jan J. Dijkstra (1990)
Compositio Mathematica
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Absolute Z-sets
Jean Lenaburg (1974)
Fundamenta Mathematicae
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A Hilbert cube compactification of the function space with the compact-open topology
Atsushi Kogasaka, Katsuro Sakai (2009)
Open Mathematics
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Let X be an infinite, locally connected, locally compact separable metrizable space. The space C(X) of real-valued continuous functions defined on X with the compact-open topology is a separable Fréchet space, so it is homeomorphic to the psuedo-interior s = (−1, 1)ℕ of the Hilbert cube Q = [−1, 1]ℕ. In this paper, generalizing the Sakai-Uehara’s result to the non-compact case, we construct a natural compactification (X) of C(X) such that the pair ( (X), C(X)) is homeomorphic to (Q,...
A characterization of very -spaces
Aleksander V. Arhangel'skii (1968)
Czechoslovak Mathematical Journal
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