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

In this text, the author presents a general framework for applying the standard methods from homotopy theory to the category of smooth schemes over a reasonable