THIS BOOK WAS WRITTEN TO BE A READABLE INTRODUCTION TO ALGEBRAIC TOPOLOGY WITH RATHER BROAD COVERAGE OF THE SUBJECT. THE VIEWPOINT IS QUITE CLASSICAL IN SPIRIT, AND STAYS WELL WITHIN THE CONFINES OF PURE ALGEBRAIC TOPOLOGY. THE AIM OF THIS BOOK TO PRESENT CLASSICAL MATERIAL FROM A RATHER CLASSICAL VIEWPOINT, IS NOT THE PLACE TO INDULGE IN WILD INNOVATION.