Lectures on Functor Homology

• Corporate Author: SpringerLink (Online service)
• Other Authors: Franjou, Vincent (Editor), Touzé, Antoine (Editor)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Birkhäuser, 2015.
• Edition: 1st ed. 2015.
• Series: Progress in Mathematics, 311
• Subjects: Mathematics.; Category theory (Mathematics).; Homological algebra.; Group theory.; Algebraic topology.; Category Theory, Homological Algebra.; Group Theory and Generalizations.; Algebraic Topology.

This book features a series of lectures that explores three different fields in which functor homology (short for homological algebra in functor categories) has recently played a significant role. For each of these applications, the functor viewpoint provides both essential insights and new methods...

Table of Contents:

• Introduction
• A. Djament: Homologie stable des groupes à coefficients polynomiaux
• W. van der Kallen: Lectures on Bifunctors and Finite Generation of Rational Cohomology Algebras
• R. Mikhailov: Polynomial Functors and Homotopy Theory
• A. Touzé: Prerequisites of Homological Algebra.