64 citations · 473 across the 56 of their papers we have counts for
4 papers · 1 filter
Effective generalized Seifert-Van Kampen: how to calculate
Carlos Simpson
Suppose is a 1-connected simplicial set with finitely many nondegenerate simplices. We give an effective algorithm to calculate a simplicial set with the -type of the loop s…
Limits in -categories
Carlos Simpson
We define notions of direct and inverse limits in an -category. We prove that the -category of fibrant -categories admits direct and inverse limits. At the end w…
Mixed twistor structures
Carlos Simpson
The purpose of this paper is to introduce the notion of mixed twistor structure, a generalization of the notion of mixed Hodge structure. The utility of this notion is to make poss…
A closed model structure for -categories, internal , -stacks and generalized Seifert-Van Kampen
Carlos Simpson
We define a closed model category containing the -nerves defined by Tamsamani, and admitting internal . This allows us to construct the -category by taking the…