feat(Geometry): uniformization theorem#132
Open
alreadydone wants to merge 1 commit intoleanprover:mainfrom
Open
feat(Geometry): uniformization theorem#132alreadydone wants to merge 1 commit intoleanprover:mainfrom
alreadydone wants to merge 1 commit intoleanprover:mainfrom
Conversation
alreadydone
commented
May 5, 2026
Comment on lines
+10
to
+14
| The usual statement of the uniformization theorem says that a simply connected Riemann surface | ||
| is isomorphic to either the Riemann sphere, the complex plane, or the open unit disc | ||
| [Hubbard, Theorem 1.1.1]. Since we do not have Riemann sphere in mathlib yet, here we instead | ||
| formalize the statement of Theorem 1.1.2, which Hubbard shows is stronger than Theorem 1.1.1 | ||
| using one page of algebraic topology and complex analysis. The statement is: |
Contributor
Author
There was a problem hiding this comment.
With the work of @girving in https://github.com/girving/ray/blob/main/Ray/Manifold/RiemannSphere.lean we can have the statement of Theorem 1.1.1, and we could discuss whether we want to add it to mathlib quickly or lean-eval for now (only ChartedSpace is needed, not IsManifold).
This file contains hidden or bidirectional Unicode text that may be interpreted or compiled differently than what appears below. To review, open the file in an editor that reveals hidden Unicode characters.
Learn more about bidirectional Unicode characters
Sign up for free
to join this conversation on GitHub.
Already have an account?
Sign in to comment
1 participant
Add this suggestion to a batch that can be applied as a single commit.This suggestion is invalid because no changes were made to the code.Suggestions cannot be applied while the pull request is closed.Suggestions cannot be applied while viewing a subset of changes.Only one suggestion per line can be applied in a batch.Add this suggestion to a batch that can be applied as a single commit.Applying suggestions on deleted lines is not supported.You must change the existing code in this line in order to create a valid suggestion.Outdated suggestions cannot be applied.This suggestion has been applied or marked resolved.Suggestions cannot be applied from pending reviews.Suggestions cannot be applied on multi-line comments.Suggestions cannot be applied while the pull request is queued to merge.Suggestion cannot be applied right now. Please check back later.
No description provided.