On the topology and the boundary of N-dimensional RCD(K,N) spaces

We establish topological regularity and stability of N-dimensional RCD(K,N) spaces (up to a small singular set), also called non-collapsed RCD(K,N) in the literature. We also introduce the notion of a boundary of such spaces and study its properties, including its behavior under Gromov-Hausdorff con...

Бүрэн тодорхойлолт

Номзүйн дэлгэрэнгүй
Үндсэн зохиолчид: Kapovitch, V, Mondino, A
Формат: Journal article
Хэл сонгох:English
Хэвлэсэн: Mathematical Sciences Publishers 2021