On the relative Schoenflies theorem.
Bi-Lipschitz Concordance Implies Bi-Lipschitz Isotopy.
Approximating continous maps of metric spaces into manifolds by embeddings.
Extension of locally uniformly equivalent metrics
Canonical Lipschitz structures on compact Hilbert cube manifolds
Minimal bi-Lipschitz embedding dimension of ultrametric spaces
We prove that an ultrametric space can be bi-Lipschitz embedded in if its metric dimension in Assouad’s sense is smaller than n. We also characterize ultrametric spaces up to bi-Lipschitz homeomorphism as dense subspaces of ultrametric inverse limits of certain inverse sequences of discrete spaces.
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