Correction to the article : An étalé space construction for stacks

Carchedi, David

doi:10.2140/agt.2016.16.541

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Correction to the article: An étalé space construction for stacks

David Carchedi

Algebraic & Geometric Topology 16 (2016) 541–546

DOI: 10.2140/agt.2016.16.541

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/

Volume 16, issue 1 (2016)