Document details

Directions for the long exact cohomology sequence in Moore categories

Author(s): Rodelo, Diana cv logo 1

Date: 2008

Persistent ID: http://hdl.handle.net/10316/11198

Origin: Estudo Geral - Universidade de Coimbra


Description
A new method for realizing the first and second order cohomology groups of an internal abelian group in a Barr-exact category was introduced in [6] and [10]. The main role, in each level, is played by a direction functor. This approach can be generalized to any level n and produces a long exact cohomology sequence. By applying this method to Moore categories we show that they represent a good context for non-abelian cohomology, in particular the Baer Extension Theory. FCT/Centre of Mathematics of the University of Coimbra
Document Type Preprint
Language English
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