On topological stacks and differentiable stacks:
David Carchedi, Étale Stacks as Prolongations, Advances in Mathematics Volume 352, 20 August 2019, Pages 56-132 (arXiv:1212.2282)
David Carchedi, Higher Orbifolds and Deligne-Mumford Stacks as Structured Infinity-Topoi, Memoirs of the American Mathematical Society 2020; 120 (arXiv:1312.2204,ISBN:978-1-4704-5810-2)
David Carchedi, On The Homotopy Type of Higher Orbifolds and Haefliger Classifying Spaces, Advances of Mathematics, Volume 294, 2016, Pages 756-818 (arXiv:1504.02394)
David Carchedi, On the étale homotopy type of higher stacks (arXiv:1511.07830)
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