2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/134128It is shown that the $p$-adic Banach spaces introduced by Emerton are isomorphic to the cohomology groups of the sheaf of continuous $\Q_{p}$-valued functions on a certain space. Some applications of this result are discussed.7 pagesNumber Theory11F75A reinterpretation of Emerton's $p$-adic Banach spacestext