Drorbn - User contributions [en]

10-327/Class Photo

2010-12-19T21:20:27Z

Colah:

Our class on September 30, 2010:

[[Image:10-327-ClassPhoto.jpg|thumb|centre|800px|Class Photo: click to enlarge]]
{{10-327/Navigation}}

Please identify yourself in this photo! There are two ways to do that:

* [[Special:Userlogin|Log in]] to this Wiki and edit this page. Put your name, userid, email address and location in the picture in the alphabetical list below.
* Send [[User:Drorbn|Dror]] an email message with this information.

The first option is more fun but less private.

===Who We Are...===

{| align=center border=1 cellspacing=0
|-
!First name
!Last name
!UserID
!Email
!In the photo
!Comments
{{Photo Entry|last=Bar-Natan|first=Dror|userid=Drorbn|email=drorbn@ math.toronto.edu|location=facing everybody, as the photographer|comments=Take this entry as a model and leave it first. Otherwise alphabetize by last name. Feel free to leave some fields blank. For better line-breaking, leave a space next to the "@" in email addresses.}}



{{Photo Entry|last=Cheung|first=Simon|userid=Simon|email= simon.cheung (at) utoronto.ca|location= At center right, middle row.|comments= Black jacket, black shirt, glasses.}}

{{Photo Entry|last=Darwin|first=Ben|userid=bcd|email=[first.last] @ utoronto.ca|location=Back row, 2nd from left |comments= }}

{{Photo Entry|last=DiPoce|first=Christian|userid=Cdipoce|email=christian.dipoce@ utoronto.ca|location=very back row, 2nd from right |comments= black t-shirt, yellow writing; as handsome as ever.}}

{{Photo Entry|last=Dranovski|first=Anne|userid=Anne.d|email=a.dranovski@ utoronto.edu|location=front row, jean jacket. |comments= }}

{{Photo Entry|last=Fleming|first=John|userid=Johnfleming|email=john.fleming@ utoronto.ca|location=back row seventh from the left. |comments= white collared shirt}}

{{Photo Entry|last=Hung|first=Ian|userid=Ian|email=ian.hung@ utoronto.ca|location=Right end of second row|comments= I'm wearing a white hoodie}}

{{Photo Entry|last=Milcak|first=Juraj|userid=milcak|email=j.milcak @ utoronto.edu|location=frontmost, rightmost.|comments= }}

{{Photo Entry|last=Woodfine|first=Jason|userid=Jdw|email=jason(dot)woodfine (at) utoronto(dot)ca|location=3rd Row (from front), 4th (from left).|comments= Grey collared shirt, arms crossed, glasses.}}

{{Photo Entry|last=Yang|first=Kai|userid=xwbdsb|email=kai.b.yang @ utoronto.ca|location=.|comments= Was planning to take the picture but was late because of washroom...}}

{{Photo Entry|last=Zhao|first=Frank|userid=Fzhao|email=frank.zhao@ utoronto.ca|location=2nd Row (from front), 6th (from left).|comments= The one in the blue shirt}}

{{Photo Entry|last=Olah|first=Christopher|userid=Colah|email=christopherolah.co@gmail.com|location=1st Row (from front), Middle.|comments= In grey.}}

|}

10-327/Separation Axioms

2010-12-19T20:57:20Z

Colah:

T0:

[[Image:T0SA.png|250px]]

T1:

[[Image:T1SA.png|250px]]

T2:

[[Image:T2SA.png|250px]]

T3:

[[Image:T3SA.png|250px]]

T3.5:

[[Image:T35SA.png|250px]]

T4:

[[Image:T4SA.png|250px]]

T4.5:

[[Image:T45SA.png|250px]]

Since I made a mistake with the pathes and these files will likely be deleted or moved, I'm including a link to the [http://christopherolah.wordpress.com/2010/08/14/separation-axiom-visualisations/ original source on my blog].

The separation axioms along with other properties form a network of implications:

[[Image:10-327-separation-axioms-graph.png|450px]]

It's interesting to note that paracompactness (every open cover has a subcover such that every point has a neighbourhood that intersects finitely many elements) will suffice in place of compactness.

10-327/Compactness

2010-12-19T20:53:10Z

Colah:

While we only discussed normal compactness, there are a lot of variations. I thought this graph of the implications between the different properties might be of interest.

[[Image:10-327-compactness-graph.png]]

File:10-327-compactness-graph.png

2010-12-19T20:50:34Z

Colah:

A graph of the implications between different properties of compactness. Original source is [http://christopherolah.wordpress.com/2010/03/09/compactness-graph/ my blog]. CC-BY-SA already.

File:10-327-compactness-graph.png

2010-12-19T20:48:50Z

Colah:

10-327/Navigation

2010-12-19T20:46:43Z

Colah:

<noinclude>Back to [[10-327]]. </noinclude>
{| border="1px" cellpadding="1" cellspacing="0" width="100%" style="font-size: small; align: left"
|- align=center
|colspan=3 style="color: red;"|'''Additions to the MAT 327 web site will count towards [[10-327/Register of Good Deeds|good deed points]] until Sunday December 19 at 5PM'''
|- align=left
!#
!Week of...
!Notes and Links
|- align=left
|align=center|1
|Sep 13
|[[10-327/About This Class|About This Class]], [[10-327/Classnotes for Monday September 13|Monday]] - Continuity and open sets, [[10-327/Classnotes for Thursday September 16|Thursday]] - topologies, continuity, bases.
|- align=left
|align=center|2
|Sep 20
|[[10-327/Classnotes for Monday September 20|Monday]] - More on bases, [[10-327/Classnotes for Thursday September 24|Thursdsay]] - Products, Subspaces, Closed sets, [[10-327/Homework Assignment 1|HW1]], [[10-327/Homework Assignment 1 Solutions|HW1 Solutions]]
|- align=left
|align=center|3
|Sep 27
|[[10-327/Classnotes for Monday September 27|Monday]] - the Cantor set, closures, [[10-327/Classnotes for Thursday September 30|Thursday]], [[10-327/Class Photo|Class Photo]], [[10-327/Homework Assignment 2|HW2]], [[10-327/Homework Assignment 2 Solutions|HW2 Solutions]]
|- align=left
|align=center|4
|Oct 4
|[[10-327/Classnotes for Monday October 4|Monday]] - the axiom of choice and infinite product spaces, [[10-327/Classnotes for Thursday October 7|Thursday]] - the box and the product topologies, metric spaces, [[10-327/Homework Assignment 3|HW3]], [[10-327/Homework Assignment 3 Solutions|HW3 Solutions]]
|- align=left
|align=center|5
|Oct 11
|Monday is Thanksgiving. [[10-327/Classnotes for Thursday October 14|Thursday]] - metric spaces, sequencial closures, various products. Final exam's date announced on Friday.
|- align=left
|align=center|6
|Oct 18
|[[10-327/Classnotes for Monday October 18|Monday]] - connectedness in <math>{\mathbb R}</math>, [[10-327/Homework Assignment 4|HW4]], [[10-327/Homework Assignment 4 Solutions|HW4 Solutions]], [[10-327/Classnotes for Thursday October 21|Thursday]] - connectedness, path-connectedness and products
|- align=left
|align=center|7
|Oct 25
|[[10-327/Classnotes for Monday October 25|Monday]] - [[compactness]] of <math>[0,1]</math>, [[10-327/Term Test|Term Test]] on Thursday, [[10-327/Term Test Solutions|TT Solutions]]
|- align=left
|align=center|8
|Nov 1
|[[10-327/Classnotes for Monday November 1|Monday]] - compact is closed and bounded, maximal values, [[10-327/Homework Assignment 5|HW5]], [[10-327/Homework Assignment 5 Solutions|HW5 Solutions]], Wednesday was the last date to drop this course, [[10-327/Classnotes for Thursday November 4|Thursday]] - [[compactness]] of products and in metric spaces, the FIP
|- align=left
|align=center|9
|Nov 8
|Monday-Tuesday is Fall Break, [[10-327/Classnotes for Thursday November 11|Thursday]] - Tychonoff and a taste of Stone-Cech, [[10-327/Homework Assignment 6|HW6]], [[10-327/Homework Assignment 6 Solutions|HW6 Solutions]]
|- align=left
|align=center|10
|Nov 15
|[[10-327/Classnotes for Monday November 15|Monday]] - generalized limits, [[10-327/Classnotes for Thursday November 18|Thursday]] - [[10-327/Separation Axioms|Normal spaces]] and Urysohn's lemma, [[10-327/Homework Assignment 7|HW7]], [[10-327/Homework Assignment 7 Solutions|HW7 Solutions]]
|- align=left
|align=center|11
|Nov 22
|[[10-327/Classnotes for Monday November 22|Monday]] - <math>T_{3.5}</math> and <math>I^A</math>, [[10-327/Classnotes for Thursday November 25|Thursday]] - Tietze's theorem
|- align=left
|align=center|12
|Nov 29
|[[10-327/Classnotes for Monday November 29|Monday]] - compactness in metric spaces, [[10-327/Homework Assignment 8|HW8]], [[10-327/Homework Assignment 8 Solutions|HW8 Solutions]], [[10-327/Classnotes for Thursday December 2|Thursday]] - completeness and compactness
|- align=left
|align=center|13
|Dec 6
|[[10-327/Classnotes for Monday December 6|Monday]] - Baire spaces and no-where differentiable functions, [[10-327/Classnotes for Wednesday December 8|Wednesday]] - Hilbert's 13th problem; also see [[December 2010 Schedule]]
|- align=left
|align=center|R
|Dec 13
|See [[December 2010 Schedule]]
|- align=left
|align=center|F
|Dec 20
|Final exam, Monday December 20, 2PM-5PM, at BR200
|- align=left
|colspan=3 align=center|[[10-327/Register of Good Deeds|Register of Good Deeds]]
|- align=left
|colspan=3 align=center|[[Image:10-327-ClassPhoto.jpg|310px]] [[10-327/Class Photo|Add your name / see who's in!]]
|- align=left
|colspan=3 align=center|[[Image:10-327-Splash.png|310px]] See {{Home Link|Talks/Fields-0911/|Hilbert's 13th}}
|}

10-327/Navigation

2010-12-19T20:44:49Z

Colah:

<noinclude>Back to [[10-327]]. </noinclude>
{| border="1px" cellpadding="1" cellspacing="0" width="100%" style="font-size: small; align: left"
|- align=center
|colspan=3 style="color: red;"|'''Additions to the MAT 327 web site will count towards [[10-327/Register of Good Deeds|good deed points]] until Sunday December 19 at 5PM'''
|- align=left
!#
!Week of...
!Notes and Links
|- align=left
|align=center|1
|Sep 13
|[[10-327/About This Class|About This Class]], [[10-327/Classnotes for Monday September 13|Monday]] - Continuity and open sets, [[10-327/Classnotes for Thursday September 16|Thursday]] - topologies, continuity, bases.
|- align=left
|align=center|2
|Sep 20
|[[10-327/Classnotes for Monday September 20|Monday]] - More on bases, [[10-327/Classnotes for Thursday September 24|Thursdsay]] - Products, Subspaces, Closed sets, [[10-327/Homework Assignment 1|HW1]], [[10-327/Homework Assignment 1 Solutions|HW1 Solutions]]
|- align=left
|align=center|3
|Sep 27
|[[10-327/Classnotes for Monday September 27|Monday]] - the Cantor set, closures, [[10-327/Classnotes for Thursday September 30|Thursday]], [[10-327/Class Photo|Class Photo]], [[10-327/Homework Assignment 2|HW2]], [[10-327/Homework Assignment 2 Solutions|HW2 Solutions]]
|- align=left
|align=center|4
|Oct 4
|[[10-327/Classnotes for Monday October 4|Monday]] - the axiom of choice and infinite product spaces, [[10-327/Classnotes for Thursday October 7|Thursday]] - the box and the product topologies, metric spaces, [[10-327/Homework Assignment 3|HW3]], [[10-327/Homework Assignment 3 Solutions|HW3 Solutions]]
|- align=left
|align=center|5
|Oct 11
|Monday is Thanksgiving. [[10-327/Classnotes for Thursday October 14|Thursday]] - metric spaces, sequencial closures, various products. Final exam's date announced on Friday.
|- align=left
|align=center|6
|Oct 18
|[[10-327/Classnotes for Monday October 18|Monday]] - connectedness in <math>{\mathbb R}</math>, [[10-327/Homework Assignment 4|HW4]], [[10-327/Homework Assignment 4 Solutions|HW4 Solutions]], [[10-327/Classnotes for Thursday October 21|Thursday]] - connectedness, path-connectedness and products
|- align=left
|align=center|7
|Oct 25
|[[10-327/Classnotes for Monday October 25|Monday]] - compactness of <math>[0,1]</math>, [[10-327/Term Test|Term Test]] on Thursday, [[10-327/Term Test Solutions|TT Solutions]]
|- align=left
|align=center|8
|Nov 1
|[[10-327/Classnotes for Monday November 1|Monday]] - compact is closed and bounded, maximal values, [[10-327/Homework Assignment 5|HW5]], [[10-327/Homework Assignment 5 Solutions|HW5 Solutions]], Wednesday was the last date to drop this course, [[10-327/Classnotes for Thursday November 4|Thursday]] - [[compactness]] of products and in metric spaces, the FIP
|- align=left
|align=center|9
|Nov 8
|Monday-Tuesday is Fall Break, [[10-327/Classnotes for Thursday November 11|Thursday]] - Tychonoff and a taste of Stone-Cech, [[10-327/Homework Assignment 6|HW6]], [[10-327/Homework Assignment 6 Solutions|HW6 Solutions]]
|- align=left
|align=center|10
|Nov 15
|[[10-327/Classnotes for Monday November 15|Monday]] - generalized limits, [[10-327/Classnotes for Thursday November 18|Thursday]] - [[10-327/Separation Axioms|Normal spaces]] and Urysohn's lemma, [[10-327/Homework Assignment 7|HW7]], [[10-327/Homework Assignment 7 Solutions|HW7 Solutions]]
|- align=left
|align=center|11
|Nov 22
|[[10-327/Classnotes for Monday November 22|Monday]] - <math>T_{3.5}</math> and <math>I^A</math>, [[10-327/Classnotes for Thursday November 25|Thursday]] - Tietze's theorem
|- align=left
|align=center|12
|Nov 29
|[[10-327/Classnotes for Monday November 29|Monday]] - compactness in metric spaces, [[10-327/Homework Assignment 8|HW8]], [[10-327/Homework Assignment 8 Solutions|HW8 Solutions]], [[10-327/Classnotes for Thursday December 2|Thursday]] - completeness and compactness
|- align=left
|align=center|13
|Dec 6
|[[10-327/Classnotes for Monday December 6|Monday]] - Baire spaces and no-where differentiable functions, [[10-327/Classnotes for Wednesday December 8|Wednesday]] - Hilbert's 13th problem; also see [[December 2010 Schedule]]
|- align=left
|align=center|R
|Dec 13
|See [[December 2010 Schedule]]
|- align=left
|align=center|F
|Dec 20
|Final exam, Monday December 20, 2PM-5PM, at BR200
|- align=left
|colspan=3 align=center|[[10-327/Register of Good Deeds|Register of Good Deeds]]
|- align=left
|colspan=3 align=center|[[Image:10-327-ClassPhoto.jpg|310px]] [[10-327/Class Photo|Add your name / see who's in!]]
|- align=left
|colspan=3 align=center|[[Image:10-327-Splash.png|310px]] See {{Home Link|Talks/Fields-0911/|Hilbert's 13th}}
|}

10-327/Separation Axioms

2010-12-19T20:23:38Z

Colah:

File:10-327-separation-axioms-graph.png

2010-12-19T20:15:20Z

Colah: A basic implication graph of the separation axioms.

A basic implication graph of the separation axioms.

10-327/Separation Axioms

2010-12-19T17:37:37Z

Colah:

T0:

[[Image:T0SA.png|upright = 0.5]]

T1:

[[Image:T1SA.png|upright = 0.5]]

T2:

[[Image:T2SA.png|upright = 0.5]]

T3:

[[Image:T3SA.png|upright = 0.5]]

T3.5:

[[Image:T35SA.png|upright = 0.5]]

T4:

[[Image:T4SA.png|upright = 0.5]]

T4.5:

[[Image:T45SA.png|upright = 0.5]]

Since I made a mistake with the pathes and these files will likely be deleted or moved, I'm including a link to the [http://christopherolah.wordpress.com/2010/08/14/separation-axiom-visualisations/ original source on my blog].

10-327/Separation Axioms

2010-12-19T17:37:04Z

Colah:

10-327/Homework Assignment 7 Solutions

2010-12-19T17:32:46Z

Colah:

{{10-327/Navigation}}

===Solution===
Here is the solution to HW7. -Kai
[http://katlas.math.toronto.edu/drorbn/images/b/b2/10-327a701_%281%29.JPG page1]
[http://katlas.math.toronto.edu/drorbn/images/3/30/10-327a701_%282%29.JPG page2]
[http://katlas.math.toronto.edu/drorbn/images/a/ac/10-327a701_%283%29.JPG page3]
[http://katlas.math.toronto.edu/drorbn/images/7/77/10-327a701_%284%29.JPG page4]
[http://katlas.math.toronto.edu/drorbn/images/4/40/10-327a701_%285%29.JPG page5]
[http://katlas.math.toronto.edu/drorbn/images/d/db/10-327a701_%286%29.JPG page6]
[http://katlas.math.toronto.edu/drorbn/images/e/ef/10-327a701_%287%29.JPG page7]
[http://katlas.math.toronto.edu/drorbn/images/6/66/10-327a701_%288%29.JPG page8]
[http://katlas.math.toronto.edu/drorbn/images/7/71/10-327a701_%289%29.JPG page9]
[http://katlas.math.toronto.edu/drorbn/images/6/62/10-327a701_%2810%29.JPG page10]
[http://katlas.math.toronto.edu/drorbn/images/9/97/10-327a701_%2811%29.JPG page11]
[http://katlas.math.toronto.edu/drorbn/images/0/0e/10-327a701_%2812%29.JPG page12]
[http://katlas.math.toronto.edu/drorbn/images/c/cc/10-327a701_%2813%29.JPG page13]
[http://katlas.math.toronto.edu/drorbn/images/1/1f/10-327a701_%2814%29.JPG page14]
[http://katlas.math.toronto.edu/drorbn/images/7/7c/10-327a701_%2815%29.JPG page15]
[http://katlas.math.toronto.edu/drorbn/images/1/13/10-327a701_%2816%29.JPG page16]
[http://katlas.math.toronto.edu/drorbn/images/1/14/10-327a701_%2817%29.JPG page17]
[http://katlas.math.toronto.edu/drorbn/images/8/88/10-327a701_%2818%29.JPG page18]

As an alternative, here is my solutions to hw7. It is typed, one page, and all the marked questions were perfect (I've denoted which ones were marked). [[Image:10-327-hw7-typed-solutions.pdf|typed hw7 solution]].

10-327/Homework Assignment 7 Solutions

2010-12-19T17:31:56Z

Colah: Added a link to my solutions

File:10-327-hw7-typed-solutions.pdf

2010-12-19T17:29:03Z

Colah:

10-327/Separation Axioms

2010-12-19T16:48:22Z

Colah: newline, scale

10-327/Separation Axioms

2010-12-19T16:45:19Z

Colah: For some reason, the pictures seem to have had "10-327/" stripped from their title. Perhaps the wiki is configured to store all pictures in /? I'm fixing the pathes on these picture links...

T0:
[[Image:T0SA.png]]

T1:
[[Image:T1SA.png]]

T2:
[[Image:T2SA.png]]

T3:
[[Image:T3SA.png]]

T3.5:
[[Image:T35SA.png]]

T4:
[[Image:T4SA.png]]

T4.5:
[[Image:T45SA.png]]

10-327/Separation Axioms

2010-12-19T16:41:41Z

Colah: Created, added pictures. Yay!

T0:
[[Image:10-327/T0SA.png]]

T1:
[[Image:10-327/T1SA.png]]

T2:
[[Image:10-327/T2SA.png]]

T3:
[[Image:10-327/T3SA.png]]

T3.5:
[[Image:10-327/T35SA.png]]

T4:
[[Image:10-327/T4SA.png]]

T4.5:
[[Image:10-327/T45SA.png]]

10-327/Navigation

2010-12-19T16:30:44Z

Colah: Added a link to (as of yet nonexistant) separation axiom page. Will create it momentarily.

<noinclude>Back to [[10-327]]. </noinclude>
{| border="1px" cellpadding="1" cellspacing="0" width="100%" style="font-size: small; align: left"
|- align=center
|colspan=3 style="color: red;"|'''Additions to the MAT 327 web site will count towards [[10-327/Register of Good Deeds|good deed points]] until Sunday December 19 at 5PM'''
|- align=left
!#
!Week of...
!Notes and Links
|- align=left
|align=center|1
|Sep 13
|[[10-327/About This Class|About This Class]], [[10-327/Classnotes for Monday September 13|Monday]] - Continuity and open sets, [[10-327/Classnotes for Thursday September 16|Thursday]] - topologies, continuity, bases.
|- align=left
|align=center|2
|Sep 20
|[[10-327/Classnotes for Monday September 20|Monday]] - More on bases, [[10-327/Classnotes for Thursday September 24|Thursdsay]] - Products, Subspaces, Closed sets, [[10-327/Homework Assignment 1|HW1]], [[10-327/Homework Assignment 1 Solutions|HW1 Solutions]]
|- align=left
|align=center|3
|Sep 27
|[[10-327/Classnotes for Monday September 27|Monday]] - the Cantor set, closures, [[10-327/Classnotes for Thursday September 30|Thursday]], [[10-327/Class Photo|Class Photo]], [[10-327/Homework Assignment 2|HW2]], [[10-327/Homework Assignment 2 Solutions|HW2 Solutions]]
|- align=left
|align=center|4
|Oct 4
|[[10-327/Classnotes for Monday October 4|Monday]] - the axiom of choice and infinite product spaces, [[10-327/Classnotes for Thursday October 7|Thursday]] - the box and the product topologies, metric spaces, [[10-327/Homework Assignment 3|HW3]], [[10-327/Homework Assignment 3 Solutions|HW3 Solutions]]
|- align=left
|align=center|5
|Oct 11
|Monday is Thanksgiving. [[10-327/Classnotes for Thursday October 14|Thursday]] - metric spaces, sequencial closures, various products. Final exam's date announced on Friday.
|- align=left
|align=center|6
|Oct 18
|[[10-327/Classnotes for Monday October 18|Monday]] - connectedness in <math>{\mathbb R}</math>, [[10-327/Homework Assignment 4|HW4]], [[10-327/Homework Assignment 4 Solutions|HW4 Solutions]], [[10-327/Classnotes for Thursday October 21|Thursday]] - connectedness, path-connectedness and products
|- align=left
|align=center|7
|Oct 25
|[[10-327/Classnotes for Monday October 25|Monday]] - compactness of <math>[0,1]</math>, [[10-327/Term Test|Term Test]] on Thursday, [[10-327/Term Test Solutions|TT Solutions]]
|- align=left
|align=center|8
|Nov 1
|[[10-327/Classnotes for Monday November 1|Monday]] - compact is closed and bounded, maximal values, [[10-327/Homework Assignment 5|HW5]], [[10-327/Homework Assignment 5 Solutions|HW5 Solutions]], Wednesday was the last date to drop this course, [[10-327/Classnotes for Thursday November 4|Thursday]] - compactness of products and in metric spaces, the FIP
|- align=left
|align=center|9
|Nov 8
|Monday-Tuesday is Fall Break, [[10-327/Classnotes for Thursday November 11|Thursday]] - Tychonoff and a taste of Stone-Cech, [[10-327/Homework Assignment 6|HW6]], [[10-327/Homework Assignment 6 Solutions|HW6 Solutions]]
|- align=left
|align=center|10
|Nov 15
|[[10-327/Classnotes for Monday November 15|Monday]] - generalized limits, [[10-327/Classnotes for Thursday November 18|Thursday]] - [[10-327/Separation Axioms|Normal spaces]] and Urysohn's lemma, [[10-327/Homework Assignment 7|HW7]], [[10-327/Homework Assignment 7 Solutions|HW7 Solutions]]
|- align=left
|align=center|11
|Nov 22
|[[10-327/Classnotes for Monday November 22|Monday]] - <math>T_{3.5}</math> and <math>I^A</math>, [[10-327/Classnotes for Thursday November 25|Thursday]] - Tietze's theorem
|- align=left
|align=center|12
|Nov 29
|[[10-327/Classnotes for Monday November 29|Monday]] - compactness in metric spaces, [[10-327/Homework Assignment 8|HW8]], [[10-327/Homework Assignment 8 Solutions|HW8 Solutions]], [[10-327/Classnotes for Thursday December 2|Thursday]] - completeness and compactness
|- align=left
|align=center|13
|Dec 6
|[[10-327/Classnotes for Monday December 6|Monday]] - Baire spaces and no-where differentiable functions, [[10-327/Classnotes for Wednesday December 8|Wednesday]] - Hilbert's 13th problem; also see [[December 2010 Schedule]]
|- align=left
|align=center|R
|Dec 13
|See [[December 2010 Schedule]]
|- align=left
|align=center|F
|Dec 20
|Final exam, Monday December 20, 2PM-5PM, at BR200
|- align=left
|colspan=3 align=center|[[10-327/Register of Good Deeds|Register of Good Deeds]]
|- align=left
|colspan=3 align=center|[[Image:10-327-ClassPhoto.jpg|310px]] [[10-327/Class Photo|Add your name / see who's in!]]
|- align=left
|colspan=3 align=center|[[Image:10-327-Splash.png|310px]] See {{Home Link|Talks/Fields-0911/|Hilbert's 13th}}
|}