Alexander Kupers
Published 2017-01-24Version 1
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.
Comments: 49 pages, 2 figures
A generalization of Vassiliev's h-principle
On the dimension of the "cohits" space $\mathbb Z_2\otimes_{\mathcal A_2} H^{*}((\mathbb RP(\infty))^{\times t}, \mathbb Z_2)$ and some applications
On the dual of a $P$-algebra and its comodules, with applications to comparison of some Bousfield classes
![QR code for arXiv:1701.06788 [math.AT]](http://oss.arxitics.com/images/favicon.svg)