%0 Journal Article
%A Aron, R.M.
%A García-Pacheco, F.J.
%A Pérez García, David
%A Seoane Sepúlveda, Juan Benigno
%T On dense-lineability of sets of functions on R
%D 2009
%@ 0040-9383
%U https://hdl.handle.net/20.500.14352/42487
%X A 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.
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