Errata for "Finiteness of rigid cohomology with coefficients" Thanks to Alberto Castaño Domínguez for pointing out some of these. Lemma 2.2.3: A and B must be assumed to be reduced, in order to be able to lift the flatness assertion from the integral subrings. Proposition 2.3.9: A_1 and A_2 must be assumed to be reduced, as in Lemma 2.2.3. Definition 3.2.1: the condition that A be regular should be added to the hypotheses, as it does not follow from the other conditions. Definition 8.3.2: in the definition of LF, "direct limit" should be read as "locally convex direct limit" in the sense of Bourbaki's Espaces Vectoriels Topologiques. Subsection 8.4: the rings R_{A,r}^T and R_{A,+}^T are only LF, not Fréchet.