2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/66982This thesis extends the Hoffman-Rudolph tvwB criterion defined for uniformly p-to-1 endomorphisms to show that it still gives a sufficient condition for a given $\bf p$-endomorphism to be one-sided Bernoulli. We also prove that given any two tvwB group extensions of the one-sided $\bf p$-shift, we can find an isomorphism preserving the natrual $\mathbb N \times G$-actions.78 pages, Ph.D. thesis, University of Toronto, accepted March 10 2003Dynamical Systemstext