INTRODUCTION TO HOMOTOPY THEORY

Unlike most books on homotopy theory, the unifying theme of this textbook is the Eckmann-Hilton duality theory, not to be found elsewhere in available literature. With a wealth of illustrations and exercises, this book motivates the reader in a way which is is often missing in most books on the subject. This carefully written text moves at a gentle pace, even with fairly advanced material. Each exercise indicates the level of difficulty, and there are also hints to some of the harder exercises at the end of the book. Key topics include: *H-Spaces and Co-H-Spaces; *cofibrations and fibrations; *exact sequences; *applications of exactness; *homotopy pushouts and pullbacks; *homotopy and homology decompositions; *homotopy sets; and *obstruction theory. This book is written for a graduate course in a topics course in algebraic topology, or a topics seminar in homotopy theory.