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arXiv · 1701.06788

Three applications of delooping to H-principles

Alexander Kupers
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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.

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Alexander Kupers. 2017-01-24. Three applications of delooping to H-principles. https://arxiv.org/abs/1701.06788

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