2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/156242We modify the definition of l^1-homology and argue why our definition is more adequate than the classical one. While we cannot reconstruct the classical l^1-homology from the new definition for various reasons, we can reconstruct its Hausdorffification so that no information concerning semi-norms is lost. We obtain an axiomatic characterization of our l^1-homology as a universal delta-functor and prove that it is pre-dual to our definition of bounded cohomology. We thus answer a question raised by Loeh in her thesis. Moreover, we prove Gromov's theorem and the Matsumoto-Morita conjecture in our context.uses xypic diagrams, minor typos fixedK-Theory and HomologyFunctional AnalysisGroup Theory18E30 (Primary); 18E10, 18G60, 46M18, 20J05, 57T (Secondary)text