
In most mathematics departments at major universities one of the three or four basic first-year graduate courses is in the subject of algebraic topology This introductory textbook in algebraic topology is suitable for use in a course or for self-study featuring broad coverage of the subject & a readable exposition with many examples & exercises The four main chapters present the basic material of the subject fundamental group & covering spaces homology & cohomology higher homotopy groups & homotopy theory generally The author emphasizes the geometric aspects of the subject which helps students gain intuition A unique feature of the book is the inclusion of many optional topics which are not usually part of a first course due to time constraints & for which elementary expositions are sometimes hard to find Among these are Bockstein & transfer homomorphisms direct & inverse limits H-spaces & Hopf algebras the Brown representability theorem the James reduced product the Dold-Thom theorem & a full exposition of Steenrod squares & powers Researchers will also welcome this aspect of the book