This book is a clear exposition, with exercises, of the basic ideas of algebraic topology: homology (singular, simplicial, and cellular), homotopy groups, and cohomology rings. It is suitable for a two- semester course at the beginning graduate level, requiring as a prerequisite a knowledge of point set topology and basic algebra.
Joseph J. Rotman
Algebraic topology CW complex Fundamental group Homotopy Homotopy group Hurewicz theorem Loop group cohomology cohomology group fibrations function space homology point set topology