MA 651: Topology II

Kate Ponto
Spring 2026

Syllabus

Announcements



Homework



Date Due Pages of the book to read Problems to turn in (from the end of the chapter!)
3/11 251-261 9-1, 9-2
3/4 315-318, 233-241 12-2, 12-3, 12-4, 12-9, 12-12 (For 12-9 you might want to use that the fundamental group of the Klein bottle is generated by elements a and b subject to the relation bab^{-1}=a^{-1}.)
2/25 307-314 11-18, 11-19, 11-20 (You can have the fact that the identity map of S^2 is not null homotopic.)
2/18 292-302 11-12, 11-13, 11-16, 11-17
2/11 224- 229, 277-291 8-2, 8-6, 8-7, 8-8, 11-4, 11-7, 11-14
1/28 206-208, 217-224 7-6, 7-9, 8-1 (You can assume the fundamental group of the circle is non-trivial and that of a wedge of two circles is non abelian)
1/21 183-205 7-2, 7-3, 7-5, 7-4