The core of classical homotopy theory is a body of ideas and theorems that emerged in the 1950s and was later largely codified in the notion of a model category

The core of classical homotopy theory is a body of ideas and theorems that emerged in the 1950s and was later largely codified in the notion of a model category

This book develops abstract homotopy theory from the categorical perspective with a particular focus on examples. Part I discusses two competing perspectives by

Since the beginning of the modern era of algebraic topology, simplicial methods have been used systematically and effectively for both computation and basic the

A complete and definitive account of the authors' resolution of the Kervaire invariant problem in stable homotopy theory.