%0 Journal Article
%A Jiménez Rodríguez, Pablo
%A Muñoz-Fernández, Gustavo A.
%A Seoane-Sepúlveda, Juan B.
%T On Weierstrass' Monsters and lineability
%D 2013
%@ 1370-1444
%U https://hdl.handle.net/20.500.14352/33435
%X Let E be a topological vector space and let us consider a property P. We say that the subset M of E formed by the vectors in E which satisfy 2 is mu-lineable (for certain cardinal mu, finite or infinite) if M U {0} contains an infinite dimensional linear space of dimension mu. In 1966 V. Gurariy provided a non-constructive proof of the N-0-lineability of the set of Weierstrass' Monsters (continuous nowhere differentiable functions on R). Here we provide the first constructive proof of the c-lineability of this set (where c denotes the continuum). Of course, this result is the best possible in terms of dimension.
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