Taking the direct limit of these groups and inclusions yields the stable mapping class group, whose rational cohomology ring was conjectured by David Mumford (one of conjectures called the Mumford conjectures).
There are several conjectures in mathematics by David Mumford.
Mumford & Sons | Mumford River | Goldbach's conjecture | Stephen Mumford | Marcus Mumford | ''n''! conjecture | n! conjecture | Mumford High School | Mick Mumford | Kato's conjecture | David Mumford | Calabi conjecture | Weil conjecture | ''Uncle Petros and Goldbach's Conjecture'' by Apostolos Doxiadis | Uncle Petros and Goldbach's Conjecture | Steve Mumford | Schanuel's conjecture | Pollock's conjecture | Mumford High School (Michigan) | Mumford conjecture | Kepler conjecture | Jeffrey Mumford | Heawood conjecture | Chang's conjecture | Catalan's conjecture | Blattner's conjecture | Beal's conjecture |