RT Journal Article T1 Q-linear functions, functions with dense graph, and everywhere surjectivity A1 García-Pacheco, F.J. A1 Rambla-Barreno, F. A1 Seoane-Sepúlveda, Juan B. AB 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 \ (S boolean OR L), S \ L, S boolean AND L and D boolean AND L \ S are lineable. Moreover, all these sets contain (omitting zero) a vector space of the biggest possible dimension, 2(c). PB Matematisk Institut, Universitetsparken NY Munkegade SN 0025-5521 YR 2008 FD 2008 LK https://hdl.handle.net/20.500.14352/50461 UL https://hdl.handle.net/20.500.14352/50461 LA eng NO Aron, R.M., García, D., Maestre, M., Linearity in non-linear problems, Rev. R.Acad. Cienc.Exactas Fís. Nat. Ser.A Mat. 95 (2001), 7–12.Aron, R. M., Gurariy, V. I., Seoane-Sepúlveda, J.B.,Lineability and spaceability of sets offunctions on R, Proc. Amer. Math. Soc. 133 3 (2005),795–803.Aron, R. M., Seoane-Sepúlveda, J. B., Algebrability of the set of everywhere surjective functions on C, Bull. Belg.Math. Soc. Simon Stevin 14 n. 1 (2007), 25–31.Enflo, P., Gurariy, V. I., On lineability and spaceability of sets in functions spaces, preprint.García-Pacheco, F. J., Palmberg, N., Seoane-Sepúlveda, J.B. Lineability and Algebrability of pathological phenomena in analysis, J. Math. Anal. Appl. 326 n. 2 (2007), 929–939.Gelbaum, B. R., Olmsted, J. M. H., Counterexamples in Analysis, Dover Publications, New York, 2003.Lebesgue, H., Leçons sur l’intégration, Gauthier-Willars,1904. DS Docta Complutense RD 1 may 2024