The printable version is no longer supported and may have rendering errors. Please update your browser bookmarks and please use the default browser print function instead.
Additions to the MAT 327 web site no longer count towards good deed points
|
#
|
Week of...
|
Notes and Links
|
1
|
Sep 13
|
About This Class, Monday - Continuity and open sets, Thursday - topologies, continuity, bases.
|
2
|
Sep 20
|
Monday - More on bases, Thursdsay - Products, Subspaces, Closed sets, HW1, HW1 Solutions
|
3
|
Sep 27
|
Monday - the Cantor set, closures, Thursday, Class Photo, HW2, HW2 Solutions
|
4
|
Oct 4
|
Monday - the axiom of choice and infinite product spaces, Thursday - the box and the product topologies, metric spaces, HW3, HW3 Solutions
|
5
|
Oct 11
|
Monday is Thanksgiving. Thursday - metric spaces, sequencial closures, various products. Final exam's date announced on Friday.
|
6
|
Oct 18
|
Monday - connectedness in , HW4, HW4 Solutions, Thursday - connectedness, path-connectedness and products
|
7
|
Oct 25
|
Monday - Compactness of , Term Test on Thursday, TT Solutions
|
8
|
Nov 1
|
Monday - compact is closed and bounded, maximal values, HW5, HW5 Solutions, Wednesday was the last date to drop this course, Thursday - compactness of products and in metric spaces, the FIP
|
9
|
Nov 8
|
Monday-Tuesday is Fall Break, Thursday - Tychonoff and a taste of Stone-Cech, HW6, HW6 Solutions
|
10
|
Nov 15
|
Monday - generalized limits, Thursday - Normal spaces and Urysohn's lemma, HW7, HW7 Solutions
|
11
|
Nov 22
|
Monday - and , Thursday - Tietze's theorem
|
12
|
Nov 29
|
Monday - compactness in metric spaces, HW8, HW8 Solutions, Thursday - completeness and compactness
|
13
|
Dec 6
|
Monday - Baire spaces and no-where differentiable functions, Wednesday - Hilbert's 13th problem; also see December 2010 Schedule
|
R
|
Dec 13
|
See December 2010 Schedule
|
F
|
Dec 20
|
Final exam, Monday December 20, 2PM-5PM, at BR200
|
Register of Good Deeds
|
Add your name / see who's in!
|
See Hilbert's 13th
|
|
Reading
Read sections 26 and 27 in Munkres' textbook (Topology, 2nd edition). Remember that reading math isn't like reading a novel! If you read a novel and miss a few details most likely you'll still understand the novel. But if you miss a few details in a math text, often you'll miss everything that follows. So reading math takes reading and rereading and rerereading and a lot of thought about what you've read. Also, preread sections 28 and 29, just to get a feel for the future.
Doing
Solve the following problems from Munkres' book, though submit only the underlined ones: Problems 1, 4, 5, 6, 7, 8, 9, 12 on pages 170-172, and problem 2 on page 177. (For the last, recall that ).
Due date
This assignment is due at the end of class on Thursday, November 11, 2010.
|
Dror's notes above / Student's notes below
|
|
- Question. In 4. By bounded metric space you mean there exists a point and an epsilon where this epsilon nbd contains everything in the metric space? -Kai
- Indeed so, though usually when talking about boundedness, people use the letter and not the letter . It makes no difference, of course.