Cohomological approach to asymptotic dimension.

DOI10.1007/s10711-008-9343-0zbMath1175.20035arXivmath/0608215OpenAlexW2056706271MaRDI QIDQ833333

Alexander N. Dranishnikov

Publication date: 12 August 2009

Published in: Geometriae Dedicata (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0608215

zbMATH Keywords

coarse cohomologybounded cohomologyasymptotic dimensionasymptotic cohomological dimensioncoarse cohomological dimension

Mathematics Subject Classification ID

Topological methods in group theory (57M07) Homological methods in group theory (20J05) Asymptotic properties of groups (20F69) Dimension theory in general topology (54F45) Homological dimension (category-theoretic aspects) (18G20) Dimension theory in algebraic topology (55M10)

Related Items (12)

Cubular tubular groups ⋮ On asymptotic Assouad-Nagata dimension ⋮ The persistent topology of optimal transport based metric thickenings ⋮ Coronas for properly combable spaces ⋮ Burghelea conjecture and asymptotic dimension of groups ⋮ Embedding relatively hyperbolic groups in products of trees. ⋮ Remarks on coarse triviality of asymptotic Assouad-Nagata dimension ⋮ Asymptotic dimension ⋮ On Gromov’s scalar curvature conjecture ⋮ A note on spaces of asymptotic dimension one ⋮ On asymptotic dimension of amalgamated products and right-angled Coxeter groups. ⋮ Buildings have finite asymptotic dimension.

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