Math 422- Introduction to Topology: Notes
- Chapter 1- Preliminaries
- Chapter 2- Bridging the Gap: Metric Spaces to Topological Spaces
- Chapter 3- Introduction to Topological Spaces
- Chapter 4- New Topological Spaces from Old
- Chapter 5- Sequences vs. Nets
- Chapter 6- Properties of Topological Spaces
- Chapter 7- Metric Spaces Revisited
- Chapter 8- Applications to Vector Spaces
* Note: This is an ongoing class. More chapters will be added throughout the Fall 2025 quarter and posted chapters are subject to change. Admittedly, the format of these notes is currently strange, but it is to ensure that the reference numbers for the theorems, definitions, homework problems, etc. are consistent. Also, at the end of the quarter, it will be easy to combine all of the chapters into one textbook-like pdf.
Matt Ziemke 