# Math Help - Is the addition operation + continuous on the infinite Euclidean product space?

1. ## Is the addition operation + continuous on the infinite Euclidean product space?

R*R*... is the infinite Euclidean product space,is the addition operation +: R*R*... ————>R still continuous on this space where it is well-defined?

2. ## Re: Is the addition operation + continuous on the infinite Euclidean product space?

What do you mean by the "infinite Euclidean product space"? Specifically, which of the many possible topologies are you assuming?