37 citations · 76 across the 11 of their papers we have counts for
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math.AT2007★ 7 cited
Small values of Lusternik-Schnirelmann and systolic categories for manifolds
Alexander N. Dranishnikov, Mikhail G. Katz, Yuli B. Rudyak
We prove that manifolds of Lusternik-Schnirelmann category 2 necessarily have free fundamental group. We thus settle a 1992 conjecture of Gomez-Larranaga and Gonzalez-Acuna, by gen…
math.GT2007
Asymptotic Dimension
G. Bell, A. Dranishnikov
The asymptotic dimension theory was founded by Gromov in the early 90s. In this paper we give a survey of its recent history where we emphasize two of its features: an analogy with…