Introduction to Homotopy Theory

The unifying theme of this book is the Eckmann-Hilton duality theory, not to be found as the motif of any other text.  Since many topics occur in dual pairs, this provides motivation for the ideas and reduces the amount of repetitious material. This carefully written text moves at a gentle pace, even with fairly advanced material. In addition, there is a wealth of illustrations and exercises. The more difficult exercises are starred, and hints to them are given at the end of the book.
Key topics include:
*basic homotopy
*H-Spaces and Co-H-Spaces;
*cofibrations and fibrations;
*exact sequences;
*applications of exactness;
*homotopy pushouts and pullbacks and
 the classical theorems of homotopy theory;
*homotopy and homology decompositions;
*homotopy sets; and
*obstruction theory.
The book is written as a text for a second course in algebraic topology, for a topics seminar in homotopy theory, or for self instruction.

Martin Arkowitz is currently a professor of mathematics at Dartmouth College. He received his Ph.D. in mathematics at Cornell University. His area of expertise is algebraic topology.