On macroscopic dimension of rationally essential manifolds

Alexander Dranishnikov

doi:10.2140/gt.2011.15.1107

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Home > Journals > Geom. Topol. > Volume 15 > Issue 2 > Article

2011 On macroscopic dimension of rationally essential manifolds

Alexander Dranishnikov

Geom. Topol. 15(2): 1107-1124 (2011). DOI: 10.2140/gt.2011.15.1107

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Abstract

We construct a counterexamples in dimensions $n > 3$ to Gromov’s conjecture that the macroscopic dimension of rationally essential $n$ –dimensional manifolds equals $n$ .

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Alexander Dranishnikov. "On macroscopic dimension of rationally essential manifolds." Geom. Topol. 15 (2) 1107 - 1124, 2011. https://doi.org/10.2140/gt.2011.15.1107