A modern, example-driven introduction to cubical diagrams and related topics such as homotopy limits and cosimplicial spaces.

The main theme of this book is that the use of filtered spaces rather than just topological spaces allows the development of basic algebraic topology in terms o

The abstract homotopy theory is based on the observation that analogues of much of the topological homotopy theory and simple homotopy theory exist in many othe

Category theory provides structure for the mathematical world and is seen everywhere in modern mathematics. With this book, the author bridges the gap between p

Homotopy theory and C* algebras are central topics in contemporary mathematics. This book introduces a modern homotopy theory for C*-algebras. One basic idea of