30 citations · 199 across the 25 of their papers we have counts for
Showing 2009 · math.DGShow all
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math.DG2009★ 2 cited
Relative systoles of relative-essential 2-complexes
Karin U. Katz, Mikhail G. Katz, Stephane Sabourau +2
We prove a systolic inequality for the phi-relative 1-systole of a phi-essential 2-complex, where phi is a homomorphism from the fundamental group of the complex, to a finitely pre…
math.DG2009★ 4 cited
Bi-Lipschitz approximation by finite-dimensional imbeddings
Karin Usadi Katz, Mikhail G. Katz
We show that the Kuratowski imbedding of a Riemannian manifold in L^\infty, exploited in Gromov's proof of the systolic inequality for essential manifolds, admits an approximation…