|Additions to the MAT 327 web site no longer count towards good deed points
||Notes and Links
||About This Class, Monday - Continuity and open sets, Thursday - topologies, continuity, bases.
||Monday - More on bases, Thursdsay - Products, Subspaces, Closed sets, HW1, HW1 Solutions
||Monday - the Cantor set, closures, Thursday, Class Photo, HW2, HW2 Solutions
||Monday - the axiom of choice and infinite product spaces, Thursday - the box and the product topologies, metric spaces, HW3, HW3 Solutions
||Monday is Thanksgiving. Thursday - metric spaces, sequencial closures, various products. Final exam's date announced on Friday.
||Monday - connectedness in , HW4, HW4 Solutions, Thursday - connectedness, path-connectedness and products
||Monday - Compactness of [0,1], Term Test on Thursday, TT Solutions
||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
||Monday-Tuesday is Fall Break, Thursday - Tychonoff and a taste of Stone-Cech, HW6, HW6 Solutions
||Monday - generalized limits, Thursday - Normal spaces and Urysohn's lemma, HW7, HW7 Solutions
||Monday - T3.5 and IA, Thursday - Tietze's theorem
||Monday - compactness in metric spaces, HW8, HW8 Solutions, Thursday - completeness and compactness
||Monday - Baire spaces and no-where differentiable functions, Wednesday - Hilbert's 13th problem; also see December 2010 Schedule
||See December 2010 Schedule
||Final exam, Monday December 20, 2PM-5PM, at BR200
|Register of Good Deeds
Add your name / see who's in!
See Hilbert's 13th
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.
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 ).
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 M and not the letter ε. It makes no difference, of course.