The landscape of homological algebra has evolved over the last half-century into a fundamental tool for the working mathematician. This book provides a unified

Homological algebra, because of its fundamental nature, is relevant to many branches of pure mathematics, including number theory, geometry, group theory and ri

This introduction to some basic ideas in algebraic topology is devoted to the foundations and applications of homology theory. After the essentials of singular

Homological algebra first arose as a language for describing topological prospects of geometrical objects. As with every successful language it quickly expanded

In this chapter we are largely influenced in our choice of material by the demands of the rest of the book. However, we take the view that this is an opportunit