Commit 2020-07-12 07:43 4e603f4b
View on Github →feat(geometry/manifold/charted_space): typeclass closed_under_restriction
for structure groupoids (#3347)
- Define a typeclass
closed_under_restriction
for structure groupoids. - Prove that it is equivalent to requiring that the structure groupoid contain all local homeomorphisms equivalent to the restriction of the identity to an open subset.
- Verify that
continuous_groupoid
andtimes_cont_diff_groupoid
satisfyclosed_under_restriction
. - Show that a charted space defined by a single chart is
has_groupoid
for any structure groupoid satisfyingclosed_under_restriction
. Zulip