|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 , 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 - and , 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_327-100923-143358.jpg.
||Dror's notes above / Student's notes below
Here are some lecture notes..
Lecture 4 page 1
Lecture 4 page 2
Lecture 4 page 3
Lecture 4 page 4
Lecture 4 page 5
Lecture 4 page 6
- Supplementary Notes to Lecture 4(By Kai)
For lecture 4. Some more illustration on Uniqueness of the product topology satisfying condition 1&2. Complete proof of the subspace topology is the unique topology satisfying condition 1&2. Proof for a couple of claims: The product topology on R_std and R_std is the standard topology on R^2 and subspace topology on Z as a subspace of Y which is a subspace of Z is the same as the subspace topology on Z as a subspace of X, where Y is a subspace of X.