01
Topological spaces and continuity
What survives when you delete distance from geometry?
Advanced · Module 13
Topology & Differential Geometry
The geometry general relativity needs, and the reason a coffee cup and a doughnut are the same object.
By the end of this module
You can talk about shape without measuring anything, and about curvature without embedding.
0%0 / 3 complete
02
Manifolds and tangent spaces
How do I do calculus on a curved thing?
03
Curvature and the Gauss–Bonnet theorem
Can a surface know it is curved without leaving itself?
Quiz
Not written yet for this module. The lectures above are complete and the module still counts toward your progress.