The homotopy category of pseudofunctors and translation cohomology |
| |
Authors: | Hans-Joachim Baues |
| |
Institution: | a Max-Planck-Institut für Mathematik, Vivatsgasse 7, 53111 Bonn, Germany b Universitat de Barcelona, Departament d’Àlgebra i Geometria, Gran Via de les Corts Catalanes, 585, 08007 Barcelona, Spain |
| |
Abstract: | We develop the obstruction theory of the 2-category of abelian track categories, pseudofunctors and pseudonatural transformations by using the cohomology of categories. The obstructions are defined in Baues-Wirsching cohomology groups. We introduce translation cohomology to classify endomorphisms in the 2-category of abelian track categories. In a sequel to this paper we will show, under certain conditions which are satisfied by all homotopy categories, that a translation cohomology class determines the exact triangles of a triangulated category. |
| |
Keywords: | 18D05 18G60 55S35 |
本文献已被 ScienceDirect 等数据库收录! |
|