Commit Graph

76 Commits

Author SHA1 Message Date
Bokuan Li
173727665b Symmetry of the derivative (normed/frechet). 2026-02-03 17:57:07 -05:00
Bokuan Li
7bbbf75213 Adjusted mean value theorem. 2026-02-03 11:07:32 -05:00
Bokuan Li
04786ba3d9 Added the Mean Value Theorem. 2026-02-03 00:54:44 -05:00
Bokuan Li
8a4e6f5ebf Defined derivatives. 2026-02-02 17:53:23 -05:00
Bokuan Li
5c54ec0883 Added properties of inductive limits. 2026-01-30 11:54:08 -05:00
Bokuan Li
d63c2e794f Added some limits. 2026-01-29 12:28:15 -05:00
Bokuan Li
b48f5859f1 Fixed some typos. 2026-01-29 12:06:44 -05:00
Bokuan Li
c0a76cc2f0 Added inductive limits of TVS. 2026-01-29 12:04:26 -05:00
Bokuan Li
317e652a6a Added a proposition concerning the structure of complete locally convex spaces. 2026-01-28 17:31:09 -05:00
Bokuan Li
354c8e0053 Added projective limits for LC spaces. 2026-01-28 13:57:49 -05:00
Bokuan Li
b220d792e4 Added projective limits. 2026-01-28 13:39:00 -05:00
Bokuan Li
e7f7dfc8e3 Fixed typo. 2026-01-27 15:43:23 -05:00
Bokuan Li
5ccfe39d3b Added relevant Hahn-Banach results. 2026-01-27 15:39:56 -05:00
Bokuan Li
2bacd9b370 Updated Schaefer & Wolff citations. 2026-01-27 14:10:21 -05:00
Bokuan Li
1431e56d3d Added more convex facts. 2026-01-27 14:10:04 -05:00
Bokuan Li
0e9b19a338 Added metrisability of locally bounded spaces. 2026-01-27 13:23:53 -05:00
Bokuan Li
6461ef4ea7 Bookkeeping. 2026-01-26 17:58:42 -05:00
Bokuan Li
b16666e74e Added basic theory of Lp spaces, alongside some integral stuff. 2026-01-26 17:47:10 -05:00
Bokuan Li
67184cbb0c Added regularity properties for Radon measures. 2026-01-26 15:14:27 -05:00
Bokuan Li
6eb34feb51 Added Riesz. 2026-01-25 18:59:57 -05:00
Bokuan Li
f9d7a448bf Defined the Lebesgue integral. 2026-01-25 14:10:21 -05:00
Bokuan Li
4e451700d2 Added the metrisability of TVS. 2026-01-25 12:29:04 -05:00
Bokuan Li
008af3c2b8 Added pseudonorms for TVSs. 2026-01-24 17:35:48 -05:00
Bokuan Li
514afcb21f Removed typo 2026-01-23 17:39:40 -05:00
Bokuan Li
22c82cc7c0 Added quotients of TVSs. 2026-01-23 17:29:32 -05:00
Bokuan Li
220c263f8f Added quotient spaces. 2026-01-23 16:44:29 -05:00
Bokuan Li
f4ffd7d838 Added neighbourhood characterisation for TVS. 2026-01-23 15:30:11 -05:00
Bokuan Li
3fc32813d8 Pseudometricised function spaces. 2026-01-23 14:01:37 -05:00
Bokuan Li
e847ead004 Minor adjustments. 2026-01-22 19:02:42 -05:00
Bokuan Li
234f158663 Added quotient topology. 2026-01-22 18:47:33 -05:00
Bokuan Li
61a8f3d37b Added integration of non-negative functions. 2026-01-22 18:12:10 -05:00
Bokuan Li
2e81d6f87a Added integration of simple functions. 2026-01-22 11:36:14 -05:00
Bokuan Li
b455200a2c Me when I fail to fix a typo. 2026-01-21 16:32:46 -05:00
Bokuan Li
88239a5893 Added simple function approximation. 2026-01-21 16:32:05 -05:00
Bokuan Li
0b24ab616f Added measurability in separable metric spaces. 2026-01-21 16:03:50 -05:00
Bokuan Li
c6796d2cc1 Added Hausdorff characterisation for uniform spaces. 2026-01-21 11:08:11 -05:00
Bokuan Li
bc9927a326 Enforced Borel sigma algebra convention. 2026-01-21 10:31:25 -05:00
Bokuan Li
755c2d8ae7 Enforced Borel sigma algebra convention. 2026-01-21 10:30:32 -05:00
Bokuan Li
d4187ecde4 Updated build file and gitignore. 2026-01-21 10:22:32 -05:00
Bokuan Li
9caac1c499 Typo fix. 2026-01-21 10:16:57 -05:00
Bokuan Li
a1f2477dcf Complete characterisation of paracompactness in LCH spaces. 2026-01-20 14:16:09 -05:00
Bokuan Li
9d2ca2c3e2 Incremental update. 2026-01-19 21:21:11 -05:00
Bokuan Li
307f23ad57 Me when I forget to commit. 2026-01-17 23:11:19 -05:00
Bokuan Li
af924f6225 Updated RS integral notation. 2026-01-09 21:26:29 -05:00
Bokuan Li
ee2599c04f Added the successive approximations. 2026-01-08 23:02:31 -05:00
Bokuan Li
9aac1243ea Slight update to the preamble. 2026-01-08 23:02:14 -05:00
Bokuan Li
c7d057139e Added compactness, Urysohn's lemma, and the Tietze extension theorem. 2026-01-08 23:01:52 -05:00
Bokuan Li
39e967c198 Reorganised the completion of uniform spaces. 2026-01-08 23:01:27 -05:00
Bokuan Li
eee78f6e29 Added the definition of the Lebesgue-Stieltjes measure. 2026-01-08 23:00:52 -05:00
Bokuan Li
a89c447b3b Started differential geometry part. 2026-01-06 17:25:27 -05:00