Quantitative nullhomotopy and rational homotopy type

DOI10.1007/s00039-018-0450-2zbMath1408.57023arXiv1611.03513OpenAlexW3098745314WikidataQ129928859 ScholiaQ129928859MaRDI QIDQ724263

Fedor Manin, Shmuel Weinberger, Gregory R. Chambers

Publication date: 25 July 2018

Published in: Geometric and Functional Analysis. GAFA (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1611.03513

zbMATH Keywords

Sullivan minimal modelLipschitz homotopy

Mathematics Subject Classification ID

Rational homotopy theory (55P62) Global geometric and topological methods (à la Gromov); differential geometric analysis on metric spaces (53C23) Algebraic topology of manifolds (57N65) Extension and compression of mappings in algebraic topology (55S36)

Related Items (8)

Scalable spaces ⋮ Quantitative null-cobordism ⋮ Lipschitz homotopies of mappings from 3‐sphere to 2‐sphere ⋮ Converting uniform homotopies into Lipschitz homotopies via moduli of continuity ⋮ Embedding the Heisenberg group into a bounded-dimensional Euclidean space with optimal distortion ⋮ Plato's cave and differential forms ⋮ Interpolation, the rudimentary geometry of spaces of Lipschitz functions, and geometric complexity ⋮ A hardness of approximation result in metric geometry

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• Volume distortion in homotopy groups
• Degrees of Self-Maps of Simply Connected Manifolds
• Quantitative algebraic topology and Lipschitz homotopy
• Induced Fibrations and Cofibrations

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