PMATH 367
Topology
Undated
Topics
- Topological Spaces and Continuous Maps
- Examples of Topological Spaces
- Connected, Path-Connected, and Compact Spaces
- Countability and Separation Axioms
- Topological Manifolds
- Paths, Homotopy, and the Fundamental Group
- Homotopy Invariance and Retracts
- Free Products and Free Groups
- The Seifert Van Kampen Theorem
- Covering Spaces
Readings
- Chapter 1. Topological Spaces and Continuous Maps — https://www.math.uwaterloo.ca/~snew/PMATH367/Ch1.pdf
- Chapter 2. Examples of Topological Spaces — https://www.math.uwaterloo.ca/~snew/PMATH367/Ch2.pdf
- Chapter 3. Connected, Path-Connected, and Compact Spaces — https://www.math.uwaterloo.ca/~snew/PMATH367/Ch3.pdf
- Chapter 4. Countability and Separation Axioms — https://www.math.uwaterloo.ca/~snew/PMATH367/Ch4.pdf
- Chapter 5. Topological Manifolds — https://www.math.uwaterloo.ca/~snew/PMATH367/Ch5.pdf
- Chapter 6. Paths, Homotopy, and the Fundamental Group — https://www.math.uwaterloo.ca/~snew/PMATH367/Ch6.pdf
- Chapter 7. Homotopy Invariance and Retracts — https://www.math.uwaterloo.ca/~snew/PMATH367/Ch7.pdf
- Chapter 8. Free Products and Free Groups — https://www.math.uwaterloo.ca/~snew/PMATH367/Ch8.pdf
- Chapter 9. The Seifert Van Kampen Theorem — https://www.math.uwaterloo.ca/~snew/PMATH367/Ch9.pdf
- Chapter 10. Covering Spaces — https://www.math.uwaterloo.ca/~snew/PMATH367/Ch10.pdf
- Appendix 1. Cardinality — https://www.math.uwaterloo.ca/~snew/PMATH367/App1.pdf
Sources
- Course catalogue ↗2026–2027
- course_website ↗Undated
- Public lecture-note archive by Stephen New. Topics are the chapter headings in the posted notes; this is not a current-term syllabus. Source term/year not established.