Commit Graph

126 Commits

Author SHA1 Message Date
Bokuan Li
07bfef705e Added Banach-Mazur. 2026-08-06 16:19:07 -04:00
Bokuan Li
3ba29569ef Added universality of the zero-dimensional spaces. 2026-08-06 15:59:15 -04:00
Bokuan Li
bf0107f15d Oopsies daisies.
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2026-07-07 20:50:19 -04:00
Bokuan Li
c7cca8820c Added Krein-Milman for measures. 2026-07-07 20:49:57 -04:00
Bokuan Li
86aba8ee4b Minor adjustments. 2026-07-06 12:36:34 -04:00
Bokuan Li
36f5b22042 Added localisable order completeness.
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2026-06-30 16:47:50 -04:00
Bokuan Li
e19a5e3ad0 Swapped in vocabulary.
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2026-06-30 14:14:44 -04:00
Bokuan Li
98127388ec Retracted localisable version of Radon-Nikodym. 2026-06-30 13:42:43 -04:00
Bokuan Li
baa048507b Added the localisable version of the radon-nikodym theorem.
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2026-06-29 21:29:57 -04:00
Bokuan Li
38099f1b19 Added elements of localisable measures. 2026-06-29 20:55:01 -04:00
Bokuan Li
831acc66cc Added gluing for measures in terms of scaffoldings. 2026-06-29 19:29:18 -04:00
Bokuan Li
ff22fad2f8 Updated the existing system to accomodate scaffolds.
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2026-06-29 17:43:02 -04:00
Bokuan Li
3ba0eee08d Introduced scaffold to localisable measure spaces. 2026-06-29 16:57:59 -04:00
Bokuan Li
671e8984c7 Added the scaffold. 2026-06-29 16:49:35 -04:00
Bokuan Li
a11cfe4e04 Book keeping. 2026-06-29 16:34:06 -04:00
Bokuan Li
17154547df More minor adjustments.
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2026-06-28 23:11:52 -04:00
Bokuan Li
35be74f8af Refined the approximation argument.
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2026-06-28 23:07:23 -04:00
Bokuan Li
a7904bd32c More typo fix.
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2026-06-28 22:48:14 -04:00
Bokuan Li
06d3f994f6 Style adjustments in gluing lemma.
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2026-06-28 21:45:48 -04:00
Bokuan Li
c484cd172b Typo fix.
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2026-06-28 21:33:06 -04:00
Bokuan Li
5abdf6ab3d Fixed wrong reference.
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2026-06-28 21:30:09 -04:00
Bokuan Li
8f06eca274 One more remark.
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2026-06-28 20:48:46 -04:00
Bokuan Li
145f3193be Minor sharpening of statements.
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2026-06-28 20:22:35 -04:00
Bokuan Li
2423cff867 Minor adjustment.
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2026-06-28 20:11:36 -04:00
Bokuan Li
3d1e095e82 Fixed typos in the gluing lemma.
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2026-06-28 20:10:25 -04:00
Bokuan Li
4226adf856 Added first darft of gluing lemma for measurable functions. 2026-06-28 19:50:05 -04:00
Bokuan Li
3a4f4b46e8 Added the theory of admissible approximant functions. 2026-06-28 19:29:22 -04:00
Bokuan Li
121033cfb6 Fixed label typo. 2026-06-28 14:35:23 -04:00
Bokuan Li
1d740724b4 Strengthened the simple function approximations. 2026-06-28 14:33:32 -04:00
Bokuan Li
bbff684bd1 Polish correction. 2026-06-28 12:04:51 -04:00
Bokuan Li
d8f56ef537 RETRACTION: SEPARABILITY REQUIRED TO DEFINE CONVERGENCE IN MEASURE 2026-06-27 22:38:39 -04:00
Bokuan Li
48a0e63f61 Added elementary facts about localisable measure spaces. 2026-06-27 17:11:57 -04:00
Bokuan Li
9c08e0a525 Added the Mackey-Arens theorem. 2026-06-26 00:16:36 -04:00
Bokuan Li
7777095461 Added citations for elements taken from Cohn's Measure Theory.
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2026-06-24 23:28:30 -04:00
Bokuan Li
8b5da0b349 Added elementary facts about conve functions.
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2026-06-23 22:38:23 -04:00
Bokuan Li
c3751d034f Added the modular function.
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2026-06-23 20:18:44 -04:00
Bokuan Li
707b5310da Cleaned up convergence in measure.
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2026-06-22 13:18:17 -04:00
Bokuan Li
05e9571794 Updated formulation of convergence in measure.
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2026-06-22 13:06:15 -04:00
Bokuan Li
3bf3f2a85c Adjusted notation for spaces of measurable functions. 2026-06-22 12:55:37 -04:00
Bokuan Li
47b8f198e1 Clamped the Ky Fan metric. 2026-06-22 12:33:43 -04:00
Bokuan Li
3a8db01be5 Added uniform description for convergence in measure.
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2026-06-21 21:58:14 -04:00
Bokuan Li
f107df48bf MAJOR RETRACTION IN UNIFORMITY DEFINING PROPOSITION. 2026-06-21 21:56:28 -04:00
Bokuan Li
a57686be8f Added notation for space of measurable functions. 2026-06-21 21:08:13 -04:00
Bokuan Li
66dd4b0068 Fixed typo in Lebesgue lemma. 2026-06-21 20:53:43 -04:00
Bokuan Li
10c6215427 Added a local to global characterisation of convergence in measure. 2026-06-20 20:45:36 -04:00
Bokuan Li
1026ff782e Adjusted some things in Radon meaasures. 2026-06-20 20:45:20 -04:00
Bokuan Li
9227565f21 Added translation properties for Haar.
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2026-06-20 10:28:50 -04:00
Bokuan Li
ea091f006a Adjusted wording in Haar. 2026-06-20 10:13:19 -04:00
Bokuan Li
094320ef29 Cleaned up MCT in measure. 2026-06-20 10:11:25 -04:00
Bokuan Li
242c7ebea1 Updated the Lebesgue non-negative integral formula. 2026-06-20 09:48:01 -04:00