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Quantitative algebraic topology and Lipschitz homotopy

We consider when it is possible to bound the Lipschitz constant a priori in a homotopy between Lipschitz maps. If one wants uniform bounds, this is essentially a finiteness condition on homotopy. This contrasts strongly with the question of whether one can homotop the maps through Lipschitz maps. We...

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Hlavní autoři: Ferry, Steve, Weinberger, Shmuel
Médium: Artigo
Jazyk:Inglês
Vydáno: National Academy of Sciences 2013
Témata:
On-line přístup:https://ncbi.nlm.nih.gov/pmc/articles/PMC3845127/
https://ncbi.nlm.nih.govhttp://dx.doi.org/10.1073/pnas.1208041110
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