A quantitative bounded distance theorem and a Margulis' lemma for \(\mathbb{Z}^n\)-actions, with applications to homology

DOI10.4171/GGD/381zbMath1365.53044arXiv1412.6516OpenAlexW2963885366WikidataQ124822047 ScholiaQ124822047MaRDI QIDQ515280

Filippo Cerocchi, Andrea Sambusetti

Publication date: 13 March 2017

Published in: Groups, Geometry, and Dynamics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1412.6516

zbMATH Keywords

quasi-isometriesstable normasymptotic volumeintegral homology

Mathematics Subject Classification ID

Lattice polytopes in convex geometry (including relations with commutative algebra and algebraic geometry) (52B20) Topological methods in group theory (57M07) Global geometric and topological methods (à la Gromov); differential geometric analysis on metric spaces (53C23) Direct methods ((G)-spaces of Busemann, etc.) (53C70)

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