Macroscopic dimension and essential manifolds |
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Authors: | A N Dranishnikov |
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Institution: | 1.Department of Mathematics,University of Florida,Gainesville,USA |
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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. |
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