Math 643 (Fall 2018)

Syllabus: link

Lectures: TR 2:20-3:35pm, Blocker 605AX

Office: Blocker 633C

Office Hours: Monday 1:30 - 3:30 pm or by appointment
 
Textbook: Allen Hather, Alagebraic Topology

Homework:

Homework	Due date	Problems from the textbook
1	Sept 11	(Hatcher, Section 2.1, Page 131): #4, 5, 6, 8, 9, 12, 14, 23
2	Sept 18	(Hatcher, Section 2.1, Page 132): #16, 17, 18, 20, 22, 27, 29
3	Sept 27	(Hatcher, Section 2.2, Page 155): #1, 2, 3, 4, 6, 7
4	Oct 4	(Hatcher, Section 2.2, Page 155): #8, 9, 10, 14, 15, 18
5	Oct 11	(Hatcher, Section 2.2, Page 157): #20, 22, 23, 26, 28, 30, 40
midterm	Oct 23	please notify me of any typos/errors
6	Nov 6	(Section 3.1, Page 205): #5*, 9, 11 (Section 3.2, Page 228) #1, 2, 3**, 6, 10,
7	Nov 20	(Section 3.2, Page 229): #11, 13, 15, 16 (Section 3.3, Page 257) #2, 5
8	Nov 27	(Section 3.3, Page 257): #6, 7, 8, 9, 10, 11
9	Dec 4	(Section 3.3, Page 259): #17, 18, 19, 20, 21, 25
final	Dec 13	notify me of any typos/errors

* Question #5 on Page 205, in part (a), \(f \cdot g\) should be interpreted as the concatenation of
the paths \(f\) and \(g\), provided that the starting point of \(f\) coincides with the endpoint of \(g\).
** Question #3 on Page 229, in part (b), you may want to use the fact that the generator in
\(H^1(\mathbb{RP}^n; \mathbb Z/2)\) is given by the generator of its fundamental group, and the fact that \(S^n\) is a double cover of \(\mathbb{RP}^n\).