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math.AT2012
Moduli space of fibrations in the category of simplicial presheaves
Ilias Amrani
We describe the moduli space of extensions in the model category of simplicial presheaves. This article can be seen as a generalization of Blomgren-Chacholski results in the case o…
math.AT2012
Stabilization of the category of simplicial objects in CAT
Ilias Amrani
In this article, we define two equivalent new model structures on the category of simplicial objects in . Then we construct the corresponding stable m…
math.AT2012
Homotopy Theory of T-algebras over Top-Cat ?
Ilias Amrani
In this article, we interconnect two different aspects of higher category theory, in one hand the theory of infinity categories and on an other hand the theory of 2-categories.We c…