Q-LINEAR FUNCTIONS, FUNCTIONS WITH DENSE GRAPH, AND EVERYWHERE SURJECTIVIf Y

摘要

Let L, S and D denote, respectively, the set of Q-linear functions, the set of everywhere surjective functions and the set of dense-graph functions on R, In this note, we show that the sets D(SUL), SL, S n L and D D L S are lineable. Moreover, all these sets contain (omitting zero) a vector space of the biggest possible dimension, 2C.