| Description |
1 online resource (332 pages) |
| Contents |
Cover; Half Title; Title Page; Copyright Page; Table of Contents; Preface; 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 |
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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 |
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Introduction to Part IV29: Products; 30: Thom Class and Lefschetz Fixed Point Theorem; 31: Intersection Numbers and Cup Products; Table of Symbol; Bibliography; Index |
| Notes |
Print version record |
| Subject |
Algebraic topology.
|
|
Algebraic topology
|
| Form |
Electronic book
|
| Author |
Harper, John R
|
| ISBN |
9780429970955 |
|
0429970951 |
|
