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by Andrew H. Wallace
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ISBN: 0486462390 Dover Publications Price: $15.95 |
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This self-contained treatment is suitable for advanced undergraduate and graduate students and may be used either after or concurrently with courses in general topology and algebra. It surveys several algebraic invariants: the fundamental group, singular and Cech homology groups, and a variety of cohomology groups. 1970 edition.
Reprint of the W. A. Benjamin, Inc., New York, 1970 edition.
Table of Contents for Algebraic Topology: Homology and Cohomology
| Preface | |||||||
| 1. Singular Homology Theory | |||||||
| 2. Singular and Simplicial Homology | |||||||
| 3. Chain Complexes—Homology and Cohomology | |||||||
| 4. The Cohomology Ring | |||||||
| 5. Cech Homology Theory—The Construction | |||||||
| 6. Further Properties of Cech Homology Theory | |||||||
| 7. Cech Cohomology Theory | |||||||
| Appendix A. The Fundamental Group | |||||||
| Appendix B. General Topology | |||||||
| Bibliography | |||||||
| Index |