Canonical Lipschitz structures on compact Hilbert cube manifolds
Jouni Luukkainen (1985)
Commentationes Mathematicae Universitatis Carolinae
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Jouni Luukkainen (1985)
Commentationes Mathematicae Universitatis Carolinae
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Robert Fraser (1970)
Fundamenta Mathematicae
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Jiří Lhotský (2006)
Acta Universitatis Carolinae. Mathematica et Physica
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Robert Fraser (1969)
Studia Mathematica
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Dean Ives (2010)
Commentationes Mathematicae Universitatis Carolinae
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We show that the following well-known open problems on existence of Lipschitz isomorphisms between subsets of Hilbert spaces are equivalent: Are balls isomorphic to spheres? Is the whole space isomorphic to the half space?