TY  - GEN 
AU  - Conejero, J.A.
AU  - Muñoz-Fernández, G.A.
AU  - Murillo Arcila, Marina
AU  - Seoane-Sepúlveda, J.B.
A4  - Matemáticas
PY  - 2015
SN  - 1370-1444
UR  - http://hdl.handle.net/10498/35523
AB  - In this short note we show that there exist uncountably generated
algebras every non-zero element of which is a smooth function having uncountably
many zeros. This result complements some recent ones by Enflo et al.
LA  - eng
PB  - Belgian Mathematical Society
KW  - lineability
KW  - spaceability
KW  - algebrability
KW  - zero set
TI  - Smooth functions with uncountably many zeros
ER  -