Homotopy Type Finiteness Theorems for Certain Precompact Families of Riemannian Manifolds
Homotopy Type Finiteness Theorems for Certain Precompact Families of Riemannian Manifolds
In this paper, we consider a precompact family of Riemannian manifolds with respect to the Hausdorff distance, and prove the homotopy type finiteness of elements in the family. This is an extension in the homotopy type version of the Cheeger and Weinstein finiteness theorems.