Gámez Merino, José LuisMuñoz-Fernández, Gustavo A.Seoane Sepúlveda, Juan Benigno2023-06-202023-06-2020100022-247X10.1016/j.jmaa.2010.03.036https://hdl.handle.net/20.500.14352/42180We give a condition for a family of functions to be lineable by means of its additivity. The novelty presented here is that we solve the lineability problem using a technique that is not constructive, as are most approaches to this problem. We relate the notions of additivity and lineability and use this relation to give a general method to find the lineability of large families of functions. We also study more examples of pathologically behaving functions, in particular, the class of Jones functions, which is a highly pathological subclass of perfectly everywhere surjective functions. We work on the additivity, lineability, and main properties of this class.engjournal articlehttp://www.sciencedirect.com/science/article/pii/S0022247X10002453http://www.sciencedirect.comrestricted access517.986.6517.518.45LineabilityAdditivityJones functionsAnálisis matemático1202 Análisis y Análisis Funcional