Gámez Merino, José LuisMuñoz Fernández, Gustavo AdolfoSeoane Sepúlveda, Juan Benigno2023-06-202023-06-2020110002-989010.4169/amer.math.monthly.118.02.167https://hdl.handle.net/20.500.14352/42362It 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.journal articlehttps://doi.org/10.4169/amer.math.monthly.118.02.167http://www.maa.org/metadata only access515.1Topología1210 Topología