Resumen de On additive countably continuous functions

T. Natkaniec

• We construct an example of additive Darboux function f : R --> R which is strongly countably continuous and discontinuous. We show also that if an additive function f is covered by countable family of continuous functions from R to R, then it can be also covered by countably many linear functions. Finally we remark that every finitely continuous and additive function is continuous.