A basic course in algebraic topology (v. 127)

This book is intended to serve as a textbook for a course in algebraic topology at the beginning graduate level. The main topics covered are the classification of compact 2-manifolds, the fundamental group, covering spaces, singular homology theory, and singular cohomology theory. These topics are developed systematically, avoiding all unecessary definitions, terminology, and technical machinery. Wherever possible, the geometric motivation behind the various concepts is emphasized. The text consists of material from the first five chapters of the author's earlier book, ALGEBRAIC TOPOLOGY: AN INTRODUCTION (GTM 56), together with almost all of the now out-of- print SINGULAR HOMOLOGY THEORY (GTM 70). The material from the earlier books has been carefully revised, corrected, and brought up to date.

Customer Reviews:

Excellent text on algebraic topology

By A Customer - March 26, 2000

The text contains material from the author's earlier two books; Algebraic Topology: An Introduction (GTM 56), and Singular Homology Theory (GTM 70). The book starts with an introductory chapter on 2-manifolds and then continues with the fundamental group; which is conceptually easier than homology, with which some books on algebraic topology start. The only prerequisite for this book is a basic knowledge of general topology; and the book is easily accessible to anyone studying on his own. In short, I recommend the book to anyone interested in algebraic topology.