# Lifting coarse homotopies

@article{Weighill2019LiftingCH, title={Lifting coarse homotopies}, author={Thomas Weighill}, journal={arXiv: Geometric Topology}, year={2019} }

We prove a general lifting lemma for coarse homotopies with respect to a certain class of bornologous surjective maps. This class is wide enough to include quotients by group actions satisfying a coarse discontinuity condition, which allows us to obtain results concerning the coarse fundamental group of quotients which are analogous to classical topological results for the fundamental group. As an application, we compute the fundamental group of metric cones over compact Riemannian manifolds of… CONTINUE READING

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