Three applications of delooping to H-principles
Algebraic Topology
2018-10-09 v2 Geometric Topology
Abstract
In this paper we give three applications of a method to prove h-principles on closed manifolds. Under weaker conditions this method proves a homological h-principle, under stronger conditions it proves a homotopical one. The three applications are as follows: a homotopical version of Vassiliev's h-principle, the contractibility of the space of framed functions, and a version of Mather-Thurston theory.
Cite
@article{arxiv.1701.06788,
title = {Three applications of delooping to H-principles},
author = {Alexander Kupers},
journal= {arXiv preprint arXiv:1701.06788},
year = {2018}
}
Comments
51 pages, 8 figures. Many small improvements, no substantial changes to results