most citedCompression of uniform embeddings into Hilbert space

4 citations · 4 across the 1 of their papers we have counts for

collaborators

3 papers

math.GT2008

Covering maps for locally path-connected spaces

N. Brodskiy, J. Dydak, B. Labuz +1

We define Peano covering maps and prove basic properties analogous to classical covers. Their domain is always locally path-connected but the range may be an arbitrary topological…

math.MG2007★ 11 cited

Rips complexes and covers in the uniform category

N. Brodskiy, J. Dydak, B. Labuz +1

James \cite{Jam} introduced uniform covering maps as an analog of covering maps in the topological category. Subsequently Berestovskii and Plaut \cite{BP3} introduced a theory of c…

math.GR2005★ 4 cited

Compression of uniform embeddings into Hilbert space

N. Brodskiy, D. Sonkin

If one tries to embed a metric space uniformly in Hilbert space, how close to quasi-isometric could the embedding be? We answer this question for finite dimensional CAT(0) cube com…