M3P21

Spring 2012

An algebraic topology course for third- and fourth-year undergraduates, and a few masters students.

• Pictures and animations of non-orientable surfaces. If you find others that you like better, let me know.
  • Gluing the ends of a cylinder to make a Klein bottle.
  • Klein bottle cut in half to give two Möbius strips.
  • Interactive Boy’s surface.
  • Gluing a disc to a Möbius strip to get a Boy’s surface.
• Homework 1: pdf, tex. Solutions: pdf, zip.
• Homework 2: pdf, tex. Solutions: pdf, tex.
• Homework 3: pdf, tex. Solutions: pdf, tex.
• Homework 4: pdf, tex. Solutions: pdf, tex.
• Revised proof that π₁(X × Y) = π₁(X) × π₁(Y): pdf, tex.
• Homework 5: pdf, tex. Solutions: pdf, tex.
• Homework 6: pdf, tex. Solutions: pdf, tex.
• Homework 7: pdf, tex. Solutions: pdf, tex.
• Homework 8: pdf, tex. Solutions: pdf, tex.
• Homework 9: pdf, tex. Solutions: pdf, tex.
• Enhanced Coursework: pdf, tex. Solutions: pdf, tex.