Non Abelian Cohomology

In this document we present a unified approach to non abelian cohomology. Cohomology theory is a tool to examine topological spaces concerning specific properties. Thereby, the focus of the investigation is not the topological space itself, but mappings from simple objects into the considered space. For this purpose, we collect several concepts from algebra, topology, and category theory in the first chapter. Subsequently follows the implementation of the abstract version of non abelian cohomology. At the end, we look at some applications of the theory like cohomology of sheaves and non abelian group cohomology.     «

In this document we present a unified approach to non abelian cohomology. Cohomology theory is a tool to examine topological spaces concerning specific properties. Thereby, the focus of the investigation is not the topological space itself, but mappings from simple objects into the considered space. For this purpose, we collect several concepts from algebra, topology, and category theory in the first chapter. Subsequently follows the implementation of the abstract version of non abelian cohomolo...     »