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May 20, 2016 at 22:31 vote accept Jairo Bochi
May 20, 2016 at 21:35 answer added Pedro Lauridsen Ribeiro timeline score: 14
May 20, 2016 at 20:12 comment added Jairo Bochi @YemonChoi Aha! This seems to be a good formulation indeed! (Pretty more abstract than what I expected, though... haha.) If you have time, please expand your answer.
May 20, 2016 at 20:06 history edited Jairo Bochi
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May 20, 2016 at 19:40 comment added Yemon Choi In the setting of commutative Banach algebras of functions, there is the notion of a regular Banach function algebra, which is a bit like having Urysohn's lemma. Then the book of Gelfand-Raikov-Shilov, Section 35, has a lemma that basically constructs partitions of unity subordinate to a given cover, with its elements coming from the given regular Banach algebra. (I'm in the middle of a pile of marking so am leaving this as a comment for now, until I have time to flesh this out.)
May 20, 2016 at 19:30 history asked Jairo Bochi CC BY-SA 3.0