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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2011, Volume 273, Pages 41–53 (Mi tm3282)  
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
Full-text PDF (226 kB) Citations (4)
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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
English version:
Proceedings of the Steklov Institute of Mathematics, 2011, Volume 273, Pages 35–47
DOI: https://doi.org/10.1134/S0081543811040043
Bibliographic databases:
Document Type: Article
UDC: 514.1+515.165.7
Language: English
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
Citation in format AMSBIB
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\paper Macroscopic dimension and essential manifolds
\inbook Modern problems of mathematics
\bookinfo Collected papers. In honor of the 75th anniversary of the Institute
\serial Trudy Mat. Inst. Steklova
\yr 2011
\vol 273
\pages 41--53
\publ MAIK Nauka/Interperiodica
\publaddr Moscow
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\transl
\jour Proc. Steklov Inst. Math.
\yr 2011
\vol 273
\pages 35--47
\crossref{https://doi.org/10.1134/S0081543811040043}
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    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Труды Математического института имени В. А. Стеклова Proceedings of the Steklov Institute of Mathematics
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