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

Francisco Javier García Pacheco Árbol académico, Fernando Rambla-Barreno Árbol académico, Juan Benigno Seoane Sepúlveda Árbol académico

  • 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.

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