Deformations of Lipschitz Homeomorphisms
Geometric Topology
2024-09-11 v1 Differential Geometry
Metric Geometry
Abstract
We obtain the Lipschitz analogues of the results Perelman used from Siebenmann's deformation of homeomorphism theory in his proof of the stability theorem. Consequently, we obtain the Lipschitz analogue of Perelman's gluing theorem. Moreover, we obtain the analogous deformation theory but with tracking of the Lipschitz constants.
Cite
@article{arxiv.2409.06170,
title = {Deformations of Lipschitz Homeomorphisms},
author = {Mohammad Alattar},
journal= {arXiv preprint arXiv:2409.06170},
year = {2024}
}