RT Journal Article
T1 On very non-linear subsets on continuous functions
A1 Botelho, G.
A1 Cariello, D.
A1 Favaro, V.V.
A1 Pellegrino, D.
A1 Seoane Sepúlveda, Juan Benigno
AB In this paper, we continue the study initiated by Gurariy and Quarta in 2004 on the existence of linear spaces formed, up to the null vector, by continuous functions that attain the maximum only at one point. Inserting a topological flavor to the subject, we prove that results already known for functions defined on certain subsets of R are actually true for functions on quite general topological spaces. In the line of the original results of Gurariy and Quarta, we prove that, depending on the desired dimension, such subspaces may exist or not.
PB Oxford University Press
SN 0033-5606
YR 2014
FD 2014-09
LK https://hdl.handle.net/20.500.14352/33770
UL https://hdl.handle.net/20.500.14352/33770
LA eng
NO CNPq
NO Fapemig
NO CNPq-Brazil
NO NCT-Matematica
NO CAPES
DS Docta Complutense
RD 10 abr 2025