Question
Asked Sep 22, 2019
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4. Let E CRd, and for each nE N, define On
as the set
On z d(x, E) 1/n)
Recall that d(x, E)
inf{| - el : e E E}. Prove that for each n e N, On is open
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4. Let E CRd, and for each nE N, define On as the set On z d(x, E) 1/n) Recall that d(x, E) inf{| - el : e E E}. Prove that for each n e N, On is open

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Step 1

To prove the openness of the given sequence of sets

Step 2

Problem stat...

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EcRDefine O {x:d(x, E)<,neN п where,d(x, E) inf x-e|;ee E To show O is open.

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