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?

- Apr 7th 2012, 05:10 AMwhitacreIs 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?

- Apr 7th 2012, 06:35 AMHallsofIvyRe: 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?