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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2011, Volume 273, Pages 41–53
(Mi tm3282)
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This article is cited in 4 scientific papers (total in 4 papers)
Macroscopic dimension and essential manifolds
A. N. Dranishnikov Department of Mathematics, University of Florida, Gainesville, FL, USA
Abstract:
M. Gromov asked whether the macroscopic dimension of rationally essential $n$-dimensional manifolds equals $n$. We show that the answer depends only on the corresponding group homology class and give an affirmative answer for certain classes. In particular, the answer is positive for manifolds with amenable fundamental groups.
Received in February 2010
Citation:
A. N. Dranishnikov, “Macroscopic dimension and essential manifolds”, Modern problems of mathematics, Collected papers. In honor of the 75th anniversary of the Institute, Trudy Mat. Inst. Steklova, 273, MAIK Nauka/Interperiodica, Moscow, 2011, 41–53; Proc. Steklov Inst. Math., 273 (2011), 35–47
Linking options:
https://www.mathnet.ru/eng/tm3282 https://www.mathnet.ru/eng/tm/v273/p41
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Abstract page: | 303 | Full-text PDF : | 60 | References: | 71 |
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