12 citations · 23 across the 4 of their papers we have counts for
5 papers
The Category of Crossed Modules of Crossed Modules and Its Associated Double Groupoids
Nelson Martins-Ferreira, Ahmet Emin Tatar
In this work we study the notion of Whitehead sequence in the category of crossed modules and actions of crossed modules. As expected, Whitehead sequences in that context are the s…
Higher-dimensional study of extensions via torsors
Cristiana Bertolin, Ahmet Emin Tatar
Let S be a site. First we define the 3-category of torsors under a Picard S-2-stack and we compute its homotopy groups. Using calculus of fractions we define also a pure algebraic…
Extensions of Picard 2-Stacks and the cohomology groups Ext^i of length 3 complexes
Cristiana Bertolin, Ahmet Emin Tatar
The aim of this paper is to define and study the 3-category of extensions of Picard 2-stacks over a site S and to furnish a geometrical description of the cohomology groups Ext^i o…
Notes on Weak Units of Group-Like 1- and 2-Stacks
Ettore Aldrovandi, Ahmet Emin Tatar
The weak units of strict monoidal 1- and 2-categories are already defined. In this paper, we define them for group-like 1- and 2-stacks. We show that they form a contractible Picar…
Length 3 Complexes of Abelian Sheaves and Picard 2-Stacks
A. Emin Tatar
We define a tricategory T of length 3 complexes of abelian sheaves, whose hom-bigroupoids consist of weak morphisms of such complexes. We also define a 3-category 2PIC(S) of Picard…