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9c08e0a5259abab441d8324610be0d1521270876
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72 Commits

Author SHA1 Message Date
Bokuan Li
9c08e0a525 Added the Mackey-Arens theorem. 2026-06-26 00:16:36 -04:00
Bokuan Li
4b404d40a6 Updated the A-A theorem to include convergence on a dense subset.
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2026-06-25 13:58:38 -04:00
Bokuan Li
32ba2483ad Added the Legendre transform.
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2026-06-24 18:29:26 -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
aa928717d0 Minor style adjustment in Urysohn. 2026-06-23 19:40:45 -04:00
Bokuan Li
15dec0e93f Fixed typo in LCH.
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2026-06-23 15:11:01 -04:00
Bokuan Li
b52626f3a1 Added a few points about Cauchy completeness of metric spaces. 2026-06-22 12:47:25 -04:00
Bokuan Li
a6cd3c7a1b Fixed definition of LCH spaces.
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2026-06-21 23:26:35 -04:00
Bokuan Li
f107df48bf MAJOR RETRACTION IN UNIFORMITY DEFINING PROPOSITION. 2026-06-21 21:56:28 -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
50d4a326db Slight adjustment to topological groups.
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2026-06-17 17:53:04 -04:00
Bokuan Li
f29c3cdeb7 More typo fixes.
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2026-06-17 17:21:36 -04:00
Bokuan Li
66d4a9ef3e Funny typo.
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2026-06-17 17:19:35 -04:00
Bokuan Li
6d84f0ea47 Performed housekeeping for topological groups.
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2026-06-17 17:17:37 -04:00
Bokuan Li
2444406ec1 Added facts about C_0. 2026-06-04 16:31:26 -04:00
Bokuan Li
668679063b Added some example facts. 2026-06-03 16:56:40 -04:00
Bokuan Li
0cea712b96 Added Runge's theorem.
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2026-05-30 20:29:17 -04:00
Bokuan Li
1d65f25d03 Added the one-point compactification. 2026-05-28 12:55:23 -04:00
Bokuan Li
5923b45f9d Added Urysohn Metrisation theorem and compactness theorems.
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2026-05-26 19:32:02 -04:00
Bokuan Li
65fdc1cc8d Added the Stone-Weierstrass Theorem. 2026-05-25 20:38:20 -04:00
Bokuan Li
964cb2450a Typo fix.
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2026-05-25 17:16:54 -04:00
Bokuan Li
6fdf6a64fd Added uniform structures for completely regular spaces. Added calculus lemma.
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2026-05-15 00:39:41 -04:00
Bokuan Li
4ba2e76b44 Added the principal logarithm. 2026-05-11 16:11:33 -04:00
Bokuan Li
538a02ba37 Added the inverse function theorem.
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2026-05-10 19:42:25 -04:00
Bokuan Li
e8474bba3e Fixed equicontinuous formulation.
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2026-05-06 23:31:25 -04:00
Bokuan Li
7e6e37d3e8 Housekeeping. 2026-05-06 16:41:51 -04:00
Bokuan Li
fdc5e43d82 Added the separate and joint continuity theorem.
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2026-05-06 16:31:41 -04:00
Bokuan Li
ca3465b3d4 Fixed indexing mistake in Arzela-Ascoli.
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2026-05-06 00:30:02 -04:00
Bokuan Li
07fe8b35c0 Added the Banach-Steinhaus theorem.
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2026-05-06 00:27:05 -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
47a7e1de68 Added notes on equicontinuity.
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2026-05-05 01:10:56 -04:00
Bokuan Li
227436a9c2 Added saturated ideals. 2026-05-04 17:54:03 -04:00
Bokuan Li
60115baa41 Replaced references to upward-directed families with ideals. 2026-05-04 17:08:01 -04:00
Bokuan Li
9259cd1d86 Added notation pages for major sections. 2026-04-23 02:56:47 -04:00
Bokuan Li
af1fa61668 Added the fundamental theorem of calculus.
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2026-03-22 17:12:22 -04:00
Bokuan Li
156c9e8728 Added missing steps and fixed typos.
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2026-03-22 00:45:15 -04:00
Bokuan Li
d7d5db5f90 Typo fix.
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2026-03-20 15:18:08 -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
c21b16d336 Added the Singer representation theorem. 2026-03-19 23:38:04 -04:00
Bokuan Li
9ce4986002 Added Fubini's theorem.
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2026-03-19 12:05:58 -04:00
Bokuan Li
dd49a42b4a Typo fixes.
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2026-03-17 15:30:41 -04:00
Bokuan Li
b591904469 Added the dual of c0.
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2026-03-16 21:05:12 -04:00
Bokuan Li
8e7e55e8b3 Added monotone convergence for LSC functions.
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2026-03-15 22:13:55 -04:00
Bokuan Li
b5126e965b Added facts about vector measures. 2026-03-15 19:30:28 -04:00
Bokuan Li
62a8e78dfe Typo fixes. 2026-03-15 12:32:31 -04:00
Bokuan Li
f951ccccdf Updated proof for C0 space.
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2026-03-14 21:16:45 -04:00
Bokuan Li
1200e0bce0 Added the c0 space. 2026-03-14 21:06:58 -04:00
Bokuan Li
99f57be39e Housekeeping. 2026-03-06 14:55:54 -05:00