%0 Journal Article
%A Gámez Merino, José Luis
%A Muñoz Fernández, Gustavo Adolfo
%A Seoane Sepúlveda, Juan Benigno
%T A Characterization of Continuity Revisited
%D 2011
%@ 0002-9890
%U https://hdl.handle.net/20.500.14352/42362
%X It is well known that a function f : R -> R is continuous if and only if the image of every compact set under f is compact and the image of every connected set is connected. We show that there exist two 2(c)-dimensional linear spaces of nowhere continuous functions that (except for the zero function) transform compact sets into compact sets and connected sets into connected sets respectively.
%~