On the 1-homotopy type of Lie groupoids
Algebraic Topology
2009-08-23 v2 Category Theory
Abstract
We propose a notion of 1-homotopy for generalized maps. This notion generalizes those of natural transformation and ordinary homotopy for functors. The 1-homotopy type of a Lie groupoid is shown to be invariant under Morita equivalence. As an application we consider orbifolds as groupoids and study the notion of orbifold 1-homotopy type induced by a 1-homotopy between presentations of the orbifold maps.
Cite
@article{arxiv.math/0612257,
title = {On the 1-homotopy type of Lie groupoids},
author = {Hellen Colman},
journal= {arXiv preprint arXiv:math/0612257},
year = {2009}
}
Comments
27 pages