Commit 2023-10-09 13:35 4f086f94
View on Github →feat: structure sheaf of a manifold (#7332)
In https://github.com/leanprover-community/mathlib/pull/19146, we defined StructureGroupoid.LocalInvariantProp.sheaf
, the sheaf-of-types of functions f : M → M'
(for charted spaces M
, M'
) satisfying some local property in the sense of StructureGroupoid.LocalInvariantProp
(for example continuity, differentiability, smoothness).
In this PR, in the case of smoothness, we upgrade this to a sheaf of groups if M'
is a Lie group, a sheaf of abelian groups if M'
is an abelian Lie group, and a sheaf of rings if M'
is a "smooth ring".