|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
See some blackboard shots at BBS/10_327-101014-142707.jpg.
||Dror's notes above / Student's notes below
Here are some lecture notes..
Lecture 9 page 1
Lecture 9 page 2
Lecture 9 page 3
Lecture 9 page 4
Lecture 9 page 5
Lecture 9 page 6
The Dice Game
Two players A and B decide to play a game.
Player A takes 3 blank dice and labels them with the numbers 1-18.
Player B then picks one of the three die.
Then Player A picks one of the remaining two die.
The players then roll their dice, and the highest number wins the round.
They play 10,023 rounds.
Who would you rather be Player A or B?
Almost Disjoint Subsets
Find an uncountable collection of subsets of such that any two subsets only contain a finite number of points in their intersection. Don't cheat by using the axiom of choice!
10-327/Solution to Almost Disjoint Subsets
- I wasn't there for this riddle but it sounded interesting, though I might have the phrasing wrong - John.
- Feel free to cheat and use the axiom of choice - I don't see how it would help anyway. Drorbn 17:40, 18 October 2010 (EDT)
4 Solutions to problems in Munkre's book regard to Metrics and Metric topology. -Kai Xwbdsb 16:47, 28 October 2010 (EDT)