A Geometric Introduction to Topology (Dover Books on Mathematics)

Intended to provide a first course in algebraic topology to advanced undergraduates, this book introduces homotopy theory, the duality theorem and the relation of topological ideas to other branches of pure mathematics. It is unique in not presupposing a course in general topology and in avoiding the use of simplexes. Exercises and problems at the end of each chapter. Indexes of terms and notations. 1972 edition.