Bernal González, LuisCalderón Moreno, María del CarmenMurillo Arcila, MarinaPrado Bassas, José Antonio2024-01-222024-01-222020-10-20Bernal González, L., Calderón Moreno, M.d.C., Murillo Arcila, M. y Prado Bassas, J.A. (2020). Undominated Sequences of Integrable Functions. Mediterranean Journal of Mathematics, 17 (179), 178-1. https://doi.org/10.1007/s00009-020-01631-2.1660-54541660-5446https://hdl.handle.net/11441/153736In this paper, we investigate to what extent the conclusion of the Lebesgue dominated convergence theorem holds if the assumption of dominance is dropped. Speci cally, we study both topological and algebraic genericity of the family of all null sequences of functions that, being continuous on a locally compact space and integrable with respect to a given Borel measure in it, are not controlled by an integrable function.application/pdf17 p.engIntegrable functioncontinuous functionundominated sequencelineabilityresidual setinfo:eu-repo/semantics/articleinfo:eu-repo/semantics/openAccesshttps://doi.org/10.1007/s00009-020-01631-2