81 citations · 142 across the 18 of their papers we have counts for
11 papers · 1 filter
A Model for the André-Quillen Cohomology of an -Category
David Blanc, Simona Paoli
We describe a comonad on -track categories, for each yielding an explicit cosimplicial abelian group model for the André-Quillen cohomology of an -category…
Stable homotopy hypothesis in the Tamsamani model
Lyne Moser, Viktoriya Ozornova, Simona Paoli +2
We prove that symmetric monoidal weak n-groupoids in the Tamsamani model provide a model for stable n-types. Moreover, we recover the classical statement that Picard categories mod…
Comonad Cohomology of Track Categories
David Blanc, Simona Paoli
We define a comonad cohomology of track categories and we show it is linked by a long exact sequence to its Dwyer-Kan-Smith cohomology . Under mild hypothesis on the track category…
Segal-type algebraic models of n-types
David Blanc, Simona Paoli
For each n\geq 1 we introduce two new Segal-type models of n-types of topological spaces: weakly globular n-fold groupoids, and a lax version of these. We show that any n-type can…
Two-track categories
David Blanc, Simona Paoli
We describe a 2-dimensional analogue of track categories, called two-track categories, and show that it can be used to model categories enriched in 2-type mapping spaces. We also d…
A Thomason Model Structure on the Category of Small n-fold Categories
Thomas M. Fiore, Simona Paoli
We construct a cofibrantly generated Quillen model structure on the category of small n-fold categories and prove that it is Quillen equivalent to the standard model structure on t…
Model Structures on the Category of Small Double Categories
Thomas M. Fiore, Simona Paoli, Dorette A. Pronk
In this paper we obtain several model structures on {\bf DblCat}, the category of small double categories. Our model structures have three sources. We first transfer across a categ…
Semistrict Tamsamani n-groupoids and connected n-types
Simona Paoli
Tamsamani's weak n-groupoids are known to model n-types. In this paper we show that every Tamsamani weak n-groupoid representing a connected n-type is equivalent in a suitable way…
Semistrict models of connected 3-types and Tamsamani's weak 3-groupoids
Simona Paoli
Homotopy 3-types can be modelled algebraically by Tamsamani's weak 3-groupoids as well as, in the path-connected case, by cat^2-groups. This paper gives a comparison between the tw…
On the non-balanced property of the category of crossed modules in groups
Simona Paoli
An algebraic category is called balanced if the cotriple cohomology of any object of vanishes in positive dimensions on injective coefficient modules. I…
(Co)homology of crossed modules with coefficients in a -module
Simona Paoli
We define a cotriple (co)homology of crossed modules with coefficients in a -module. We prove its general properties, including the connection with the existing cotriple theor…