# Ma109a: Introduction to Geometry and Topology

## Resources for the class

This page serves as a backup for the Canvas page where it is often not possible to upload files. The files of the lecture notes and the homeworks will be posted here (and on Canvas if Canvas collaborates).
## Summary of Lectures and Notes

- September 27: preliminaries on set theory lecture notes
- September 29: more preliminaries on set theory lecture notes
- October 1: introduction to category theory
- October 4: introduction to category theory lecture notes (October 1 and 4)
- October 6: constructions in categories lecture notes
- October 8: constructions in categories (continued, same notes)
- October 11: topological spaces lecture notes
- October 13: constructions in topological spaces lecture notes
- October 15: constructions in topological spaces lecture notes and lecture notes and lecture notes
- October 18: metric spaces lecture notes and
additional notes
- October 20: connectedness lecture notes and
additional notes
- October 22: separation and compactness lecture notes
- October 25: compactness lecture notes
- October 27: separation and metrization lecture notes
- October 29: metrization (continuation)
- November 1: filters and ultrafilters lecture notes
- November 3: ultrafilters (continued)
- November 5: classification of topological surfaces lecture notes
and other reading material pdf N1 , pdf N2 , pdf N3
- November 8: classification of surfaces (continued)
- November 10: classification of surfaces (continued)
- November 12: Borsuk separation and Jordan-Schoenflies theorem lecture notes
- November 15: Borsuk separation and Jordan-Schoenflies theorem (continued)
- November 17: triangulation of surfaces lecture notes
- November 19: triangulation of surfaces (continued)
- November 22: fundamental groupoid and fundamental group lecture notes
- November 24: informal discussion on Zoom on topology as a current research field (not recorded)
- November 29: fundamental group (continued)
- December 1: fundamental group and covering spaces lecture notes
- December 3: fundamental group and Seifert-van Kampen theorem; homology lecture notes

## Homework

## Midterm and Final