The groupoid structure of groupoid morphisms
arXiv:1712.05094 · doi:10.1016/j.geomphys.2019.103486
Abstract
In this paper we construct two groupoids from morphisms of groupoids, with one from a categorical viewpoint and the other from a geometric viewpoint. We show that for each pair of groupoids, the two kinds of groupoids of morphisms are equivalent. Then we study the automorphism groupoid of a groupoid.
28 pages; Final version, to appear in JGP; An appendix is added to discuss the topology of the morphism groupoid; Title changed