Algebraic topology : A first course / Marvin J. Greenberg and John R. Harper.

Part I: Elementary Homotopy Theory; Introduction to Part I; 1: Arrangement of Part I; 2: Homotopy of Paths; 3: Homotopy of Maps; 4: Fundamental Group of the Circle; 5: Covering Spaces; 6: A Lifting Criterion; 7: Loop Spaces and Higher Homotopy Groups; Part II: Singular Homology Theory; Introduction to Part II; 8: Affine Preliminaries; 9: Singular Theory; 10: Chain Complexes; 11: Homotopy Invariance of Homology; 12: Relation Between Ï#x80;1 and H1; 13: Relative Homology; 14: The Exact Homology Sequence. 15: The Excision Theorem16: Further Applications to Spheres; 17: Mayer-Vietoris Sequence; 18: The Jordan-Brouwer Separation Theorem; 19: Construction of Spaces: Spherical Complexes; 20: Betti Numbers and Euler Characteristic; 21: Construction of Spaces: Cell Complexes and More Adjunction Spaces; Part III: Orientation and Duality on Manifolds; Introduction to Part III; 22: Orientation of Manifolds; 23: Singular Cohomology; 24: Cup and Cap Products; 25: Algebraic limits; 26: Poincaré Duality; 27: Alexander Duality; 28: Lefschetz Duality; Part IV: Products and Lefschetz Fixed Point Theorem. Introduction to Part IV29: Products; 30: Thom Class and Lefschetz Fixed Point Theorem; 31: Intersection Numbers and Cup Products