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

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

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

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

Simplicial sets are discrete analogs of topological spaces. They have played a central role in algebraic topology ever since their introduction in the late 1940