Commit Graph

127 Commits

Author SHA1 Message Date
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
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
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
Bokuan Li
a704806321 Finished basic topologies on function spaces. 2026-01-06 17:25:01 -05:00
Bokuan Li
9e76c1610a Finished basic function space topologies. 2026-01-06 17:24:36 -05:00
Bokuan Li
badf8ad486 Updated the uniform topology on function spaces. 2026-01-05 20:18:26 -05:00
Bokuan Li
abbed78434 Progress over the past week. 2026-01-05 20:10:39 -05:00
Bokuan Li
e8d394a2ac Updated content. 2026-01-01 03:50:45 -05:00