The uniform classification of boundedly compact locally convex spaces
Sven Heinrich (1986)
Czechoslovak Mathematical Journal
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Sven Heinrich (1986)
Czechoslovak Mathematical Journal
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P. Mankiewicz (1972)
Studia Mathematica
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J. Grzybowski, D. Pallaschke, R. Urbański (2007)
Control and Cybernetics
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Robert Fraser (1970)
Fundamenta Mathematicae
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Hu, Sze-Tsen (1948)
Portugaliae mathematica
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P. Mankiewicz (1973)
Studia Mathematica
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Heiko Berninger, Dirk Werner (2003)
Extracta Mathematicae
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Marco Annoni, Emanuele Casini (2007)
Studia Mathematica
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We construct a new lipschitzian retraction from the closed unit ball of the Banach space l₁ onto its boundary, with Lipschitz constant 8.
Robert Fraser (1969)
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Adam Parusiński (2005)
Annales Polonici Mathematici
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Given a Lipschitz stratification 𝒳 that additionally satisfies condition (δ) of Bekka-Trotman (for instance any Lipschitz stratification of a subanalytic set), we show that for every stratum N of 𝒳 the distance function to N is locally bi-Lipschitz trivial along N. The trivialization is obtained by integration of a Lipschitz vector field.