Homotopy lifting property of an $e^\epsilon$-Lipschitz and co-Lipschitz map

Autor:	Xu, Shicheng
Rok vydání:	2012
Předmět:	Mathematics - Differential Geometry 53C21 53C23
Druh dokumentu:	Working Paper
Popis:	An $e^\epsilon$-Lipschitz and co-Lipschitz map, as a metric analogue of an $\epsilon$-Riemannian submersion, naturally arises from a sequence of Alexandrov spaces with curvature uniformly bounded below that converges to a space of only weak singularities. In this paper we prove its homotopy lifting property and its homotopy stability in Gromov-Hausdorff topology. Due to an overlook in the previous version, the part for bounding intrinsic distance of fibers will be talked about in the coming papers. Comment: 13 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1211.5919 Zobrazit plný text záznamu View this record from Arxiv