Cheeger-Gromov Theory and Applications to General Relativity

This paper surveys aspects of the convergence and degeneration of Riemannian metrics on a given manifold M - the Cheeger-Gromov theory - and extensions thereof to Ricci curvature in place of full curvature. This theory is then applied to study a collection of different issues in mathematical aapects of General Relativity.
23pp, for Proc. 2002 Cargese School on General Relativity