As the title suggests, this book is concerned with the elementary portion of the subject of homotopy theory. It is assumed that the reader is familiar with the

The most important invariant of a topological space is its fundamental group. When this is trivial, the resulting homotopy theory is well researched and familia

The Handbook of Homotopy Theory provides a panoramic view of an active area in mathematics that is currently seeing dramatic solutions to long-standing open pro

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