Quantitative algebraic topology and Lipschitz homotopy

DOI10.1073/pnas.1208041110zbMath1302.57060OpenAlexW1980655284WikidataQ46061253 ScholiaQ46061253MaRDI QIDQ5170986

Steven C. Ferry, Shmuel Weinberger

Publication date: 25 July 2014

Published in: Proceedings of the National Academy of Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1073/pnas.1208041110

zbMATH Keywords

cobordismamenable fundamental groupisotopy Lipshitz homotopyLipshitz homotopy

Mathematics Subject Classification ID

Algebraic topology of manifolds (57N65) Homology and cohomology theories in algebraic topology (55N99)

Related Items

Scalable spaces, Quantitative null-cobordism, Converting uniform homotopies into Lipschitz homotopies via moduli of continuity, Uniform boundedness principles for Sobolev maps into manifolds, Quantitative geometry, Plato's cave and differential forms, Quantitative nullhomotopy and rational homotopy type, Computing simplicial representatives of homotopy group elements, Interpolation, the rudimentary geometry of spaces of Lipschitz functions, and geometric complexity

Cites Work

• Smooth approximation of Lipschitz functions on Riemannian manifolds
• An elementary geometric proof of two theorems of Thom
• On the width of homotopies
• Amenable groups and Euler characteristic
• The locally flat approximation of cell-like embedding relations
• Algorithmic unsolvability of the triviality problem for multidimensional knots
• Quelques propriétés globales des variétés différentiables