On macroscopic dimension of rationally inessential manifolds

DOI10.1007/s10688-011-0022-9zbMath1271.53043OpenAlexW2031664559MaRDI QIDQ366312

Alexander N. Dranishnikov

Publication date: 12 September 2013

Published in: Functional Analysis and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10688-011-0022-9

zbMATH Keywords

duality groupinessential manifoldmacroscopic dimension

Mathematics Subject Classification ID

Global geometric and topological methods (à la Gromov); differential geometric analysis on metric spaces (53C23)

Related Items (2)

Finiteness of \(\pi _1\)-sensitive Hofer-Zehnder capacity and equivariant loop space homology ⋮ On Gromov's positive scalar curvature conjecture for duality groups

Cites Work

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• On macroscopic dimension of rationally essential manifolds
• Macroscopic dimension and essential manifolds
• Positive scalar curvature and the Dirac operator on complete Riemannian manifolds
• \(C^ *\)-algebras, positive scalar curvature, and the Novikov conjecture. III
• Spin and scalar curvature in the presence of a fundamental group. I
• A counterexample to the (unstable) Gromov-Lawson-Rosenberg conjecture
• Macroscopic dimension of 3-manifolds
• Harmonic spinors
• Simply connected manifolds of positive scalar curvature
• On Gromov’s scalar curvature conjecture
• Sphere Theorems in Geometry
• Dynamics of complexity of intersections
• An infinite family of manifolds with bounded total curvature
• Finiteness Theorems for Riemannian Manifolds

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