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[http://katlas.math.toronto.edu/drorbn/images/7/7f/10-327-lec03p04.jpg Lecture 3 page 4] |
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[http://katlas.math.toronto.edu/drorbn/images/7/7f/10-327-lec03p04.jpg Lecture 3 page 4] |
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===Some Supplementary Notes to Lecture 3=== |
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Complete proof for the equality of three topologies generated by basis B. |
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And solution to the four exercises.(By Kai Yang 997712756) |
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[http://katlas.math.toronto.edu/drorbn/images/d/d6/10-327lec301.jpg page 1] |
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[http://katlas.math.toronto.edu/drorbn/images/9/9d/10-327lec302.jpg page 2] |
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[http://katlas.math.toronto.edu/drorbn/images/c/c5/10-327lec303.jpg page 3] |
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[http://katlas.math.toronto.edu/drorbn/images/2/28/10-327lec304.jpg page 4] |
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[http://katlas.math.toronto.edu/drorbn/images/1/1d/10-327lec305.jpg page 5] |
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[http://katlas.math.toronto.edu/drorbn/images/7/70/10-327lec306.jpg page 6] |
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[http://katlas.math.toronto.edu/drorbn/images/7/7a/10-327lec307.jpg page 7] |
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[http://katlas.math.toronto.edu/drorbn/images/b/b1/10-327lec308.jpg page 8] |
Revision as of 05:43, 22 September 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_327-100920-141211.jpg.
Here are some lecture notes..
Lecture 3 page 1
Lecture 3 page 2
Lecture 3 page 3
Lecture 3 page 4
Some Supplementary Notes to Lecture 3
Complete proof for the equality of three topologies generated by basis B.
And solution to the four exercises.(By Kai Yang 997712756)
page 1
page 2
page 3
page 4
page 5
page 6
page 7
page 8
