2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/142310Each compact manifold M of finite dimension k is differentiable and supports an intrinsic probability measure. There then exists a measurable transformation of M to the k-dimensional "surface" of the (k+1)-dimensional ball.Differential GeometryInformation TheoryAn information-theoretic analog of a result of Perelmantext