Semester:
Offered:
[Syllabus updated]
Time: 12:00-1:15 pm, Monday-Wednesday
Place: Science Center TBD
Instructor: Fan Ye, Science Center 505H, fanye@math.harvard.edu
Course Assistant: TBD
Office Hours:
Fan Ye, SC 505H, 1:15-2:15pm MW
Main References:
Algebraic topology, Chapter 2-3 by Allen Hatcher; Lectures on Algebraic Topology, Chapter 1-3 by Haynes Miller:
Other suggested references: W. Fulton: Algebraic Topology; E. Spanier: Algebraic Topology; Greenberg and Harper: Algebraic Topology: A First Course
Prerequisites: An undergraduate-level understanding of topology. An undergraduate may look at Basic Topology by M. A. Armstrong.
Tentative Course Outline:
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Weeks 1-4: Singular Homology
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Weeks 5-8: Computational methods
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Weeks 9-14: Cohomology and duality
 | syllabus_math231a.pdf | 66 KB |
| notes_by_haynes_miller.pdf | 1.8 MB |
| algebraic_topology_by_allen_hatcher.pdf | 7.65 MB |