A compact imbedding result of Lipschitz manifolds.
Kevin McLeod, Rainer Picard (1991)
Mathematische Annalen
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Kevin McLeod, Rainer Picard (1991)
Mathematische Annalen
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Jean-Pierre Rosay, Lucien Chevalier (1996)
Mathematische Annalen
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O.Carruth McGehee (1979)
Mathematische Annalen
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Robert Fraser (1970)
Fundamenta Mathematicae
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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.
Tadeusz Mostowski (2004)
Banach Center Publications
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Itai Benjamini, Alexander Shamov (2015)
Analysis and Geometry in Metric Spaces
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It is shown that every bi-Lipschitz bijection from Z to itself is at a bounded L1 distance from either the identity or the reflection.We then comment on the group-theoretic properties of the action of bi-Lipschitz bijections.
Nguyen Van Khue, Nguyen To Nhu (1981)
Colloquium Mathematicae
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A.S. Besicovitch (1929)
Mathematische Zeitschrift
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Ingo Lieb, R.Michael Range (1983)
Mathematische Annalen
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Aleš Nekvinda, Luděk Zajíček (1988)
Časopis pro pěstování matematiky
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J.M. Anderson (1976)
Mathematische Zeitschrift
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