Zulip Chat Archive

Stream: Is there code for X?

Topic: continuity of sums


Adam Topaz (Jul 29 2022 at 16:12):

I'm looking for a lemma that says the following: Given a topological space XX and a finite collection of continuous maps fi:XRf_i : X \to \mathbb{R}, the (pointwise) sum ifi\sum_i f_i is continuous. I looked around has_continuous_add, but didn't find it. Am I looking in the wrong place (or am I just blind)?

Eric Rodriguez (Jul 29 2022 at 16:18):

docs#continuous_finset_sum? I found the finsum version first, which is weird...

Adam Topaz (Jul 29 2022 at 16:20):

Perfect thanks!


Last updated: Dec 20 2023 at 11:08 UTC