Spaces of retractions which are homeomorphic to Hilbert space
Nhu Nguyen, Katsuro Sakai, Raymond Wong (1990)
Fundamenta Mathematicae
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Displaying similar documents to “A note on convexity”
Spaces of retractions which are homeomorphic to Hilbert space
On a problem of V. Klee concerning the Hilbert manifolds
Karol Borsuk (1961)
Colloquium Mathematicum
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Characterizing Hilbert space topology
H. Toruńczyk (1981)
Fundamenta Mathematicae
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Identifying Hilbert cubes: general methods and their application to hyperspaces by Schori and West
West, J. E.
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Open subsets of Hilbert space
David W. Henderson (1969)
Compositio Mathematica
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A non-𝒵-compactifiable polyhedron whose product with the Hilbert cube is 𝒵-compactifiable
C. R. Guilbault (2001)
Fundamenta Mathematicae
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We construct a locally compact 2-dimensional polyhedron X which does not admit a 𝒵-compactification, but which becomes 𝒵-compactifiable upon crossing with the Hilbert cube. This answers a long-standing question posed by Chapman and Siebenmann in 1976 and repeated in the 1976, 1979 and 1990 versions of Open Problems in Infinite-Dimensional Topology. Our solution corrects an error in the 1990 problem list.
Topological structure of infinite-dimensional linear spaces: the classification problem
V. Klee (1963)
Studia Mathematica
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Compact absolute retracts as factors of the Hilbert space
H. Toruńczyk (1973)
Fundamenta Mathematicae
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Topological Structure of Non-separable Sigma-locally Compact Convex Sets
Iryna Banakh, Taras Banakh, Katsuhisa Koshino (2013)
Bulletin of the Polish Academy of Sciences. Mathematics
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