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14 February 2009
- 08:4508:45, 14 February 2009 diff hist +2,189 N Szemerédi's combinatorial proof of Roth's theorem New page: To emphasise the similarity with DHJ, let us work here with Roth's theorem for <math>[3]^n</math>: '''Roth's theorem.''' If n is sufficiently large depending on <math>\delta > 0</math>, ...
- 08:1808:18, 14 February 2009 diff hist +1,876 N Ajtai-Szemerédi's proof of the corners theorem New page: [Cleanup needed.] Ajtai and Szemerédi found a clever proof of the corners theorem that used Szemerédi’s theorem as a lemma. This gives us a direction to explore that we have hardly to...
- 08:1508:15, 14 February 2009 diff hist +639 Furstenberg-Katznelson argument →Step 3: Creating transformations
- 07:5107:51, 14 February 2009 diff hist +76 Upper and lower bounds No edit summary
- 07:4907:49, 14 February 2009 diff hist 0 Upper and lower bounds →Larger n
- 07:4907:49, 14 February 2009 diff hist +724 Upper and lower bounds →Larger n
13 February 2009
- 23:5423:54, 13 February 2009 diff hist +1,006 Furstenberg-Katznelson argument →Step 3: Creating transformations
- 23:0823:08, 13 February 2009 diff hist +2 Furstenberg-Katznelson argument →Step 1: Random sampling
- 23:0823:08, 13 February 2009 diff hist +166 Furstenberg-Katznelson argument No edit summary
- 23:0423:04, 13 February 2009 diff hist +4,503 N Furstenberg-Katznelson argument New page: '''Theorem DHJ(3)'''. For every <math>\delta > 0</math> there exists n such that every subset <math>A \subset [3]^n</math> of density at least <math>\delta<\math> contains a combinatorial...
- 22:2522:25, 13 February 2009 diff hist +65 Main Page →Proof strategies
- 20:3220:32, 13 February 2009 diff hist +346 Main Page →Threads
- 20:1920:19, 13 February 2009 diff hist +106 Main Page →Threads
- 19:4319:43, 13 February 2009 diff hist +101 Fujimura's problem →n=4
- 19:3119:31, 13 February 2009 diff hist +2 Moser's cube problem No edit summary
- 19:3119:31, 13 February 2009 diff hist +229 Moser's cube problem No edit summary
- 19:2919:29, 13 February 2009 diff hist +870 N Moser's cube problem New page: Let <math>c'_n</math> denote the largest subset of <math>[3]^n</math> which does not contain any geometric line (which is the same as a combinatorial line, but has a second wildcard y whic...
- 19:2619:26, 13 February 2009 diff hist +102 Main Page →Threads
- 19:1819:18, 13 February 2009 diff hist 0 Upper and lower bounds →n=4
- 17:2717:27, 13 February 2009 diff hist +149 Upper and lower bounds No edit summary
- 17:2617:26, 13 February 2009 diff hist 0 Fujimura's problem No edit summary
- 17:2517:25, 13 February 2009 diff hist +109 Fujimura's problem No edit summary
- 17:2317:23, 13 February 2009 diff hist +267 Fujimura's problem No edit summary
- 17:2017:20, 13 February 2009 diff hist 0 Hyper-optimistic conjecture No edit summary
- 17:1917:19, 13 February 2009 diff hist +2,403 N Hyper-optimistic conjecture New page: [http://gowers.wordpress.com/2009/02/08/dhj-quasirandomness-and-obstructions-to-uniformity/#comment-2114 Gil Kalai] and [http://gowers.wordpress.com/2009/02/08/dhj-quasirandomness-and-obst...
- 17:1417:14, 13 February 2009 diff hist +48 Main Page →Threads
- 16:3716:37, 13 February 2009 diff hist +821 Main Page →Bibliography
- 11:4611:46, 13 February 2009 diff hist 0 Main Page →The Problem
- 09:0809:08, 13 February 2009 diff hist +1,114 Upper and lower bounds No edit summary
- 08:0408:04, 13 February 2009 diff hist +629 Fujimura's problem No edit summary
- 07:4807:48, 13 February 2009 diff hist +4 Main Page →Threads
- 07:4707:47, 13 February 2009 diff hist +112 Main Page →Threads
- 07:3807:38, 13 February 2009 diff hist +842 Fujimura's problem →General n
12 February 2009
- 21:1521:15, 12 February 2009 diff hist +206 Fujimura's problem →General n
- 21:1121:11, 12 February 2009 diff hist +3,045 N Fujimura's problem New page: Let <math>\overline{c}^\mu_n</math> the largest subset of the triangular grid :<math>\Delta_n := \{ (a,b,c) \in {\Bbb Z}_+^3: a+b+c=n \}</math> which contains no equilateral triangles. ...
- 21:0421:04, 12 February 2009 diff hist +79 Main Page →Threads
- 20:4120:41, 12 February 2009 diff hist +4,368 Upper and lower bounds →n=3
- 18:2918:29, 12 February 2009 diff hist +671 Upper and lower bounds No edit summary
- 18:2118:21, 12 February 2009 diff hist +265 Upper and lower bounds →n=2
- 18:1318:13, 12 February 2009 diff hist +3,402 N Upper and lower bounds New page: <center>'''Upper and lower bounds for <math>c_n</math> for small values of n.'''</center> == Basic constructions == For all <math>n \geq 1</math>, a basic example of a mostly line-free s...
- 17:5317:53, 12 February 2009 diff hist +54 Main Page →Threads
- 17:5217:52, 12 February 2009 diff hist +10,497 N Unsolved problems New page: '''Gowers.462:''' Incidentally, it occurs to me that we as a collective are doing what I as an individual mathematician do all the time: have an idea that leads to an interesting avenue to...
- 17:5117:51, 12 February 2009 diff hist −10,531 Main Page →Unsolved questions
- 17:5117:51, 12 February 2009 diff hist +69 Main Page →Threads
- 12:4412:44, 12 February 2009 diff hist +358 Main Page →Bibliography
11 February 2009
- 21:3321:33, 11 February 2009 diff hist +23 Main Page →The Problem
- 21:3321:33, 11 February 2009 diff hist +306 Main Page →The Problem
- 19:5019:50, 11 February 2009 diff hist +592 Main Page No edit summary
- 19:3919:39, 11 February 2009 diff hist +259 Main Page No edit summary
- 19:3319:33, 11 February 2009 diff hist +820 Main Page →The Problem
