A clear exposition, with exercises, of the basic ideas of algebraic topology. Suitable for a two-semester course at the beginning graduate level, it assumes a knowledge of point set topology and basic algebra. Although categories and functors are introduced early in the text, excessive generality is avoided, and the author explains the geometric or analytic origins of abstract concepts as they are introduced.
Preface. 0: Introduction. 1: Some Basic Topological Notions. 2: Simplexes. 3: The Fundamental Group. 4: Singular Homology. 5: Long Exact Sequences. 6: Excision and Applications. 7: Simplicial Complexes. 8: CW Complexes. 9: Natural Transformations. 10: Covering Spaces. 11: Homotopy Groups. 12: Cohomology.
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