On the space of morphisms between \'etale groupoids
Geometric Topology
2008-09-18 v2
Abstract
Given two \'etale groupoids and , we consider the set of pointed morphisms from to . Under suitable hypothesis we introduce on this set a structure of Banach manifold which can be considered as the space of objects of an \'etale groupoid whose space of orbits is the space of morphisms from to .
Keywords
Cite
@article{arxiv.0707.4673,
title = {On the space of morphisms between \'etale groupoids},
author = {André Haefliger},
journal= {arXiv preprint arXiv:0707.4673},
year = {2008}
}
Comments
Amstex, 12 pages. In this revised version, we correct paragraph IV.4, add references and more details on the proofs