Classnotes for January 24

From 0506Topology

#	Week of...	Links (edit)
Fall
1	Sep 12	About, Tue, Thu, Std2Disc
2	Sep 19	Tue, Thu, HW1, 14 Sets
3	Sep 26	Tue, Thu, Photo
4	Oct 3	Tue, Thu
5	Oct 10	HW2, Tue, Thu
6	Oct 17	Tue, Thu, HW3
7	Oct 24	Mon, Tue, Thu
8	Oct 31	Tue, Thu, HW4
9	Nov 7	TE1, Tue, Thu
10	Nov 14	Tue, Thu, HW5
11	Nov 21	Tue, Thu
12	Nov 28	Tue, Thu, HW6
13	Dec 5	Tue, Thu
E	Dec 12	TE2
Spring
14	Jan 9	Tue, IT83, Thu, HW7
15	Jan 16	Tue, Thu
16	Jan 23	Tue, HW8, Thu
17	Jan 30	Tue, Thu
18	Feb 6	TE3, Tue, Thu
19	Feb 13	Tue, Thu
R	Feb 20
20	Feb 27	Tue, Thu, HW9
21	Mar 6	Tue, Thu, HW10
22	Mar 13	Tue, Thu
23	Mar 20	Tue, Thu, HW11
24	Mar 27	Tue, Thu
25	Apr 3	Tue, Thu, HW12
26	Apr 10	Tue, Thu
Study	Apr 17	Office Hours
Exams	Apr 24	Final, PM

Classnotes for January 24

Some links

• News.
• A letter from the CMS.
• A Klein bottle (http://www.math.toronto.edu/~drorbn/Gallery/Symmetry/Tilings/oo/KleinBottle.html) (what's its universal cover?).
• Two Covering Spaces.
• HW7.
• Classnotes for January 17, compare with Classnotes for September 13.
• Class Photo.
• Hatcher's page 58 (http://www.math.cornell.edu/~hatcher/AT/ATch1.pdf#page=38). Questions:
  1. What are the groups indicated below each covering?
  2. Can a cover be recovered from its group?
  3. Why is G₂ normal while G₃ isn't?
  4. Is G₃ = G₄? Are they conjugate?
  5. Is there a cover with a trivial group?
  6. (10) is itself a cover of (9). Are their groups related?

Scanned notes

Available here (http://katlas.math.toronto.edu/0506-Topology/index.php?title=Image:16-01-01-24.pdf).

Audio recording

1st hour lecture recording available here

2nd hour lecture recording available here