14 citations · 38 across the 10 of their papers we have counts for
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math.AG2015
On the étale homotopy type of higher stacks
David Carchedi
A new approach to étale homotopy theory is presented which applies to a much broader class of objects than previously existing approaches, namely it applies not only to all schemes…
math.AG2015★ 14 cited
Kato-Nakayama spaces, infinite root stacks, and the profinite homotopy type of log schemes
David Carchedi, Sarah Scherotzke, Nicolò Sibilla +1
For a log scheme locally of finite type over , a natural candidate for its profinite homotopy type is the profinite completion of its Kato-Nakayama space. Alternatively…
math.AT2015
On The Homotopy Type of Higher Orbifolds and Haefliger Classifying Spaces
David Carchedi
We describe various equivalent ways of associating to an orbifold, or more generally a higher étale differentiable stack, a weak homotopy type. Some of these ways extend to arbitra…