%0 Journal Article %A Ciesielski, Krzysztof Chris %A Gámez Merino, José Luis %A Pellegrino, Daniel %A Seoane-Sepúlveda, Juan B. %T Lineability, spaceability, and additivity cardinals for Darboux-like functions %D 2014 %@ 0024-3795 %U https://hdl.handle.net/20.500.14352/33481 %X We introduce the concept of maximal lineability cardinal number, mL(M), of a subset M of a topological vector space and study its relation to the cardinal numbers known as: additivity A(M), homogeneous lineability HL(M), and lineability L(M) of M. In particular, we will describe, in terms of L, the lineability and spaceability of the families of the following Darboux-like functions on R-n, n >= 1: extendable, Jones, and almost continuous functions %~