Commit Graph

107 Commits

Author SHA1 Message Date
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
Bokuan Li
9dae6324ef Updated remark for dominated convergence.
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2026-06-19 20:54:43 -04:00
Bokuan Li
2d75e7c029 Added MCT for convergence in measure. 2026-06-19 20:50:42 -04:00
Bokuan Li
8742c4f7cd Added MCT for convergence in measure.
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2026-06-19 20:34:15 -04:00
Bokuan Li
1722ddb933 Added the Vitali convergence theorem.
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2026-06-19 17:36:53 -04:00
Bokuan Li
a97be99b8a Fixed typos in the haar proof. 2026-06-19 13:01:06 -04:00
Bokuan Li
64788a5322 Added a variation bound for scalar measures. 2026-06-19 12:59:33 -04:00
Bokuan Li
9504125410 Added uniqueness of Haar.
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2026-06-18 21:00:12 -04:00
Bokuan Li
6487655eb3 Fixed typo. 2026-06-18 20:21:58 -04:00
Bokuan Li
b68c050225 Mised 3 factor.
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2026-06-17 23:50:56 -04:00
Bokuan Li
346b0bdfd2 Made more room. 2026-06-17 23:49:24 -04:00
Bokuan Li
a8eed2a9ba ACTUALLY added the Haar measure.
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2026-06-17 23:46:13 -04:00
Bokuan Li
7a678b9efe Added existence of the Haar measure.
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2026-06-17 23:44:23 -04:00
Bokuan Li
4028f13e04 Added more facts about topological groups. 2026-06-17 20:27:35 -04:00
Bokuan Li
597a92b006 Adjusted wording for the sequential statement.
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2026-06-16 21:09:48 -04:00
Bokuan Li
ff2218c79b Fixed stack exchange citation. 2026-06-16 15:17:37 -04:00
Bokuan Li
d5d03954df Slight typographic adjustment. 2026-06-16 13:45:06 -04:00
Bokuan Li
c31994b247 Fixed awkward phrasing.
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2026-06-16 13:43:42 -04:00
Bokuan Li
76107709a8 Added a description of weak-* convergence in the case of bounded Borel functions. 2026-06-16 13:42:54 -04:00
Bokuan Li
f456f79891 Fleshed out the dual of measure spaces.
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2026-06-16 13:25:40 -04:00