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The groupoid structure of groupoid morphisms

Published 14 Dec 2017 in math.CT, math.DG, and math.SG | (1712.05094v2)

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.

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