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math.CA2022
Subsets of rectifiable curves in Banach spaces II: universal estimates for almost flat arcs
Matthew Badger, Sean McCurdy
We prove that in any Banach space the set of windows in which a rectifiable curve resembles two or more straight line segments is quantitatively small with constants that are indep…
math.CA2014★ 4 cited
Quasiconformal planes with bi-Lipschitz pieces and extensions of almost affine maps
Jonas Azzam, Matthew Badger, Tatiana Toro
A quasiplane is the image of an -dimensional Euclidean subspace of () under a quasiconformal map . We give s…