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

  1. Francisco Javier García Pacheco
  2. Fernando Rambla-Barreno
  3. Juan Benigno Seoane Sepúlveda
Zeitschrift:
Mathematica scandinavica

ISSN: 0025-5521

Datum der Publikation: 2008

Ausgabe: 102

Nummer: 1

Seiten: 156-160

Art: Artikel

DOI: 10.7146/MATH.SCAND.A-15057 DIALNET GOOGLE SCHOLAR lock_openOpen Access editor

Andere Publikationen in: Mathematica scandinavica

Zusammenfassung

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.

Fuente de los datos: Dialnet