  In the Friedmann Model of the universe, cosmologists assume that spacelike
slices of the universe are Riemannian manifolds of constant sectional
curvature. This assumption is justified via Schur's Theorem by stating that the
spacelike universe is locally isotropic. Here we define a Riemannian manifold
as almost locally isotropic in a sense which allows both weak gravitational
lensing in all directions and strong gravitational lensing in localized angular
regions at most points. We then prove that such a manifold is Gromov Hausdorff
close to a length space $Y$ which is a collection of space forms joined at
discrete points. Within the paper we define a concept we call an "exponential
length space" and prove that if such a space is locally isotropic then it is a
space form.
