RT Journal Article
T1 A Characterization of Continuity Revisited
A1 Gámez Merino, José Luis
A1 Muñoz Fernández, Gustavo Adolfo
A1 Seoane Sepúlveda, Juan Benigno
AB It is well known that a function f : R -> R is continuous if and only if the image of every compact set under f is compact and the image of every connected set is connected. We show that there exist two 2(c)-dimensional linear spaces of nowhere continuous functions that (except for the zero function) transform compact sets into compact sets and connected sets into connected sets respectively.
PB Mathematical Assoc Amer
SN 0002-9890
YR 2011
FD 2011
LK https://hdl.handle.net/20.500.14352/42362
UL https://hdl.handle.net/20.500.14352/42362
NO Ministerio de Ciencia e Innovación (España)
DS Docta Complutense
RD 5 abr 2025