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Macroscopic dimension and essential manifolds

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Publication:641938
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DOI10.1134/S0081543811040043zbMath1230.54027OpenAlexW2077582114MaRDI QIDQ641938

Alexander N. Dranishnikov

Publication date: 25 October 2011

Published in: Proceedings of the Steklov Institute of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0081543811040043


zbMATH Keywords

macroscopic dimensionGromov conjecture


Mathematics Subject Classification ID

Dimension theory in general topology (54F45)


Related Items (5)

On macroscopic dimension of universal coverings of closed manifolds ⋮ On macroscopic dimension of rationally inessential manifolds ⋮ Simplicial volume and essentiality of manifolds fibered over spheres ⋮ On macroscopic dimension of rationally essential manifolds ⋮ Uniformly finite homology and amenable groups



Cites Work

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  • Positive scalar curvature and the Dirac operator on complete Riemannian manifolds
  • Filling Riemannian manifolds
  • Volume growth and positive scalar curvature
  • On Gromov’s scalar curvature conjecture
  • Large and small group homology
  • On the Berstein–Svarc theorem in dimension 2
  • Aperiodic Tilings, Positive Scalar Curvature, and Amenability of Spaces


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