Aron, R.M.García-Pacheco, F.J.Pérez García, DavidSeoane Sepúlveda, Juan Benigno2023-06-202023-06-2020090040-938310.1016/j.top.2009.11.013https://hdl.handle.net/20.500.14352/42487A subset M of a topological vector space X is said to be dense-lineable in X if there exists an infinite dimensional linear manifold in M boolean OR {0} and dense in X. We give sufficient conditions for a lineable set to be dense-lineable, and we apply them to prove the dense-lineability of several subsets of e[a, b]. We also develop some techniques to show that the set of differentiable nowhere monotone functions is dense-lineable in e[a, b]. Other results related to density and dense-lineability of sets in Banach spaces are also presented.engjournal articlehttp://www.sciencedirect.com/science/article/pii/S0040938309000251http://www.sciencedirect.com/restricted access517.53Dense-lineabilitydifferentiable nowhere monotone functionsFunciones (Matemáticas)1202 Análisis y Análisis Funcional