Commit 2023-12-22 09:27 ccbb5566
View on Github →feat: local diffeomorphisms (#8736)
Define local diffeomorphisms between smooth manifolds. As an auxiliary definition, we add PartialDiffeomorph
, the analogue of PartialHomeomorph
for diffeomorphisms.
In future PRs, we will
- show that local diffeomorphisms have invertible differential
- show the converse, using the inverse function theorem: if the differential of $f$ at $x$ is invertible, $f$ is a local diffeomorphism at $x$