Q-linear functions, functions with dense graph, and everywhere surjectivity

• Autores: Francisco Javier García Pacheco , Fernando Rambla-Barreno , Juan Benigno Seoane Sepúlveda
• Localización: Mathematica scandinavica, ISSN 0025-5521, Vol. 102, Nº 1, 2008, págs. 156-160
• Idioma: inglés
• DOI: 10.7146/math.scand.a-15057
• Enlaces
  • Texto completo
• Resumen

  • 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∪L), S∖L, S∩L and D∩L∖S are lineable. Moreover, all these sets contain (omitting zero) a vector space of the biggest possible dimension, 2c.