Volume 16, issue 1 (2016)

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Correction to the article: An étalé space construction for stacks

David Carchedi

Algebraic & Geometric Topology 16 (2016) 541–546

Correction to Algebraic & Geometric Topology 13:2 (2013) 831–903

Abstract

The definition of a category of spaces given in An étalé space construction for stacks is problematic in that the main examples do not satisfy the axioms listed there. In this erratum, we give an alternative definition which encompasses our main examples and for which the results and proofs of this paper still hold.

Keywords
étalé space, étale stack, groupoid, topological stack, differentiable stack, action groupoid, topos, topoi
Mathematical Subject Classification 2010
Primary: 22A22, 58H05
Secondary: 18B25
References
Publication
Received: 13 January 2015
Revised: 8 April 2015
Accepted: 20 May 2015
Published: 23 February 2016
Authors
David Carchedi
Department of Mathematical Sciences
George Maison University
4400 University Drive, MS: 3F2
Exploratory Hall, room 4400
Fairfax, VA 22030
USA
http://math.gmu.edu/~dcarched/