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Algebraic Topology I
Check in the VVZ for a current information.
| Lecturer: |
Prof. Rahul Pandharipande |
Lectures: |
Wed 10-12, HG D 5.2
Thu 13-15, HG D 5.2 |
| Coordinator: |
Maria Beatrice Pozzetti |
Exercise classes: |
See here for further details Dates: Wed, 1.10 Wed, 22.10 Wed, 5.11 Wed, 26.11 Wed, 10.12 |
Syllabus and Literature
We will follow A. Hatcher's Algebraic Topology. The book can be downloaded here.
| Week | Topics | Chapters |
| 1 (Sep 17-18) | CW complexes, homotopy, homotopy equivalence | Chapter 0 |
| 2 (Sept 24-25) | Fundamental group and applications | Chapter 1.1 |
| 3 (Oct 2) | Borsuk-Ulam | Chapter 1.1 |
| 4 (Oct 8-9) | Van Kampen's Theorem, covering spaces | Chapter 1.2, 1.3 |
| 5 (Oct 15-16) | Covering spaces | Chapter 1.3 |
| 6 (Oct 23) | Homology | Chapter 2.1 |
| 7 (Oct 29-30) | Simplicial Homology, Delta complexes | Chapter 2.1 |
| 8 (Nov 6) | Singular Homology | Chapter 2.1 |
| 9 (Nov 12-13) | Homotopy invariance, relative homology | Chapter 2.1 |
| 10 (Nov 19-20) | Baricentric subdivision | Chapter 2.1 |
| 11 (Nov 27) | Excision | Chapter 2.1 |
| 12 (Dec 3-4) | Mayer-Vietoris, Jordan curve theorem | Chapter 2.2 |
| 13 (Dec 11) | Cellular homology | Chapter 2.2 |
| 14 (Dec 17-18) | Cellular homology | Chapter 2.2 |
EXERCISES FOR THE EXAM
Can be downloaded at this link
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