Commit Graph

85 Commits

Author SHA1 Message Date
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
Bokuan Li
07d8419fe0 Added duality result for spaces of measures. 2026-06-16 13:10:24 -04:00
Bokuan Li
dadddc4663 Added section regarding the duality of L^p spaces. 2026-06-15 21:47:49 -04:00
Bokuan Li
9f05b9dabd Fixed a handful of typos. 2026-06-15 00:17:03 -04:00
Bokuan Li
5b1e0f86e6 Added missing justification.
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2026-06-14 23:09:35 -04:00
Bokuan Li
33c6a6775d Fixed typos.
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2026-06-14 22:59:26 -04:00
Bokuan Li
b2ef9f2736 Added the Vitali-Hahn-Saks theorem.
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2026-06-14 22:55:23 -04:00
Bokuan Li
1ec807a9ca Removed pretentiousness. 2026-06-14 21:29:15 -04:00
Bokuan Li
16baef24e7 Oxford? comma. 2026-06-14 21:26:17 -04:00
Bokuan Li
b8df875d0f Actually added the Radon-Nikodym theorem.
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2026-06-14 21:24:26 -04:00
Bokuan Li
754cba965b Added the Radon-Nikodym theorem for finite measures.
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2026-06-14 21:20:35 -04:00
Bokuan Li
4ba2e76b44 Added the principal logarithm. 2026-05-11 16:11:33 -04:00
Bokuan Li
7e6e37d3e8 Housekeeping. 2026-05-06 16:41:51 -04:00
Bokuan Li
97372173e1 Fixed regex incident.
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2026-05-05 02:00:05 -04:00
Bokuan Li
0f2e69d1f9 Polished A-A and added new lines for broken enumerates.
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2026-05-05 01:50:35 -04:00
Bokuan Li
1e53581113 Added bornological spaces. 2026-05-02 15:59:03 -04:00
Bokuan Li
caf7790b15 Fixed typo in Cauchy in measure. 2026-05-01 13:29:36 -04:00
Bokuan Li
9259cd1d86 Added notation pages for major sections. 2026-04-23 02:56:47 -04:00
Bokuan Li
780d5d362e Fixed typo in the Singer representation remark.
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2026-03-20 00:13:08 -04:00
Bokuan Li
1d9f537b86 Added missing citation for the C0 Riesz representation theorem.
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2026-03-20 00:05:57 -04:00
Bokuan Li
aa4756e941 Adjusted citation formats. Moved citation off of named theorems if possible.
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2026-03-19 23:58:16 -04:00
Bokuan Li
f9275656f4 Added a remark on the Singer representation theorem.
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2026-03-19 23:44:32 -04:00
Bokuan Li
c21b16d336 Added the Singer representation theorem. 2026-03-19 23:38:04 -04:00