RT Journal Article
T1 Cardinal coefficients related to surjectivity, darboux, and sierpiński-zygmund maps
A1 Ciesielski, Krzysztof Chris
A1 Gámez Merino, José Luis
A1 Mazza, L.
A1 Seoane-Sepúlveda, Juan B.
AB We investigate the additivity A and lineability L cardinal coeffiients for the following classes of functions: ES\SES of everywhere surjective functions that are not strongly everywhere surjective, Darboux-like, Sierpinski-Zygmund, surjective, and their corresponding intersections. The classes SES and ES have been shown to be 2c-lineable. In contrast, although we prove here that ES\SES is c+-lineable, it is still unclear whether it can be proved in ZFC that ES\SES is 2c-lineable. Moreover, we prove that if c is a regular cardinal number, then A(ES\SES) ≤ c. This shows that, for the class ES\SES, there is an unusually large gap between the numbers A and L.
PB American Mathematical Society
SN 0002-9939
YR 2017
FD 2017
LK https://hdl.handle.net/20.500.14352/17655
UL https://hdl.handle.net/20.500.14352/17655
LA eng
NO Ministerio de Ciencia e Innovación (MICINN)
DS Docta Complutense
RD 1 may 2024