@misc{10498/35523, year = {2015}, url = {http://hdl.handle.net/10498/35523}, abstract = {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.}, publisher = {Belgian Mathematical Society}, keywords = {lineability}, keywords = {spaceability}, keywords = {algebrability}, keywords = {zero set}, title = {Smooth functions with uncountably many zeros}, author = {Conejero, J.A. and Muñoz-Fernández, G.A. and Murillo Arcila, Marina and Seoane-Sepúlveda, J.B.}, }