A pdf file with all notes and a LaTex source file are available here.
I may make some minor changes to these notes during the semester, which can affect numbering of theorems, exercises etc. The table below and the course schedule page for each week will include links to the up-to-date versions of each chapter.
| 1. Some Motivation | complete notes | blank notes |
| 2. Categories and Functors | complete notes | blank notes |
| 3. The Fundamental Group | complete notes | blank notes |
| 4. Dependence on the Basepoint | complete notes | blank notes |
| 5. First computations | complete notes | blank notes |
| 6. Some applications | complete notes | blank notes |
| 7. Higher Homotopy Groups | complete notes | blank notes |
| 8. Homotopy Invariance | complete notes | blank notes |
| 9. The Product Formula | complete notes | blank notes |
| 10. Pushouts and van Kampen’s Theorem | complete notes | blank notes |
| 11. Proof of van Kampen’s Theorem | complete notes | blank notes |
| 12. CW complexes | complete notes | blank notes |
| 13. Homotopy Extension Property | complete notes | blank notes |
| 14. Presentations of Groups | complete notes | blank notes |
| 15. Fundamental Group and 2-Cells | complete notes | blank notes |
| 16. Cellular Approximation Theorem | complete notes | blank notes |
| 17. Covering Spaces | complete notes | blank notes |
| 18. Coverings and the Fundamental Group | complete notes | blank notes |
| 19. Classification of Coverings | complete notes | blank notes |
| 20. From Subgroups to Coverings | complete notes | blank notes |
| 21. Equivalences of categories | complete notes | blank notes |
| 22. Coverings and group actions | complete notes | blank notes |
| 23. Deck transformations | complete notes | blank notes |