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Additions to the MAT 327 web site no longer count towards good deed points
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Week of...
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Notes and Links
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1
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Sep 13
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About This Class, Monday - Continuity and open sets, Thursday - topologies, continuity, bases.
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2
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Sep 20
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Monday - More on bases, Thursdsay - Products, Subspaces, Closed sets, HW1, HW1 Solutions
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3
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Sep 27
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Monday - the Cantor set, closures, Thursday, Class Photo, HW2, HW2 Solutions
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4
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Oct 4
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Monday - the axiom of choice and infinite product spaces, Thursday - the box and the product topologies, metric spaces, HW3, HW3 Solutions
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5
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Oct 11
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Monday is Thanksgiving. Thursday - metric spaces, sequencial closures, various products. Final exam's date announced on Friday.
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6
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Oct 18
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Monday - connectedness in , HW4, HW4 Solutions, Thursday - connectedness, path-connectedness and products
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7
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Oct 25
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Monday - Compactness of , Term Test on Thursday, TT Solutions
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8
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Nov 1
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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
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9
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Nov 8
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Monday-Tuesday is Fall Break, Thursday - Tychonoff and a taste of Stone-Cech, HW6, HW6 Solutions
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10
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Nov 15
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Monday - generalized limits, Thursday - Normal spaces and Urysohn's lemma, HW7, HW7 Solutions
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11
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Nov 22
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Monday - and , Thursday - Tietze's theorem
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12
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Nov 29
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Monday - compactness in metric spaces, HW8, HW8 Solutions, Thursday - completeness and compactness
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13
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Dec 6
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Monday - Baire spaces and no-where differentiable functions, Wednesday - Hilbert's 13th problem; also see December 2010 Schedule
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R
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Dec 13
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See December 2010 Schedule
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F
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Dec 20
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Final exam, Monday December 20, 2PM-5PM, at BR200
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Register of Good Deeds
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Add your name / see who's in!
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See Hilbert's 13th
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See some blackboard shots at BBS/10_327-101014-142707.jpg.
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Dror's notes above / Student's notes below
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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
Riddles
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)
Solutions
4 Solutions to problems in Munkre's book regard to Metrics and Metric topology. -Kai Xwbdsb 16:47, 28 October 2010 (EDT)
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