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Line 22: |
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==Riddle Along== |
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==Riddle Along== |
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Can you color <math>\mathbb{R}^2</math> with 4 colors such that no points with distance one are the same color?<br> |
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Can you color <math>\mathbb{R}^2</math> with 4 colors such that no points with distance one are the same color? |
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[[10-327/Solution to coloring R2]] |
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[[10-327/Solution to coloring R2]] |
Revision as of 21:25, 21 October 2010
| Additions to the MAT 327 web site no longer count towards good deed points
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| #
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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 ![{\displaystyle [0,1]}](https://wikimedia.org/api/rest_v1/media/math/render/svg/738f7d23bb2d9642bab520020873cccbef49768d) , 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_327-101021-143325.jpg.
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Dror's notes above / Student's notes below
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Here are some lecture notes..
Lecture 11 page 1
Lecture 11 page 2
Lecture 11 page 3
Lecture 11 page 4
Lecture 11 page 5
Lecture 11 page 6
Lecture 11 page 7
Riddle Along
Can you color 
with 4 colors such that no points with distance one are the same color?
10-327/Solution to coloring R2
