I am a computer scientist that only recently got interested in topology. I have got the following question:(adsbygoogle = window.adsbygoogle || []).push({});

How to prove, in an elegant way, that an arbitrary sum of open intervals (a,b), whereais inRandbis inR, is open?

I have got some kind of a proof, but I am not sure it is right. Moreover, it is very bulky and I do not like it.

Thanx in advance.

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# Infinite number of open intervals

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