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

Knot theory is a classical area of low-dimensional topology, directly connected with the theory of three-manifolds and smooth four-manifold topology. In recent

A major synthesis of homology, written by a top researcher in the field Homology—a similar trait shared by different species and derived from common ancestry,

This book is a comprehensive study of cyclic homology theory together with its relationship with Hochschild homology, de Rham cohomology, S1 equivariant homolog

Homology is a powerful tool used by mathematicians to study the properties of spaces and maps that are insensitive to small perturbations. This book uses a comp