Hi folks, as I was reviewing the metric space section in Amann- Escher textbook, I came across the following example of neighborhood:(adsbygoogle = window.adsbygoogle || []).push({});

"For [itex]\left[0,1\right][/itex] with the metric induced from [itex]R[/itex], [itex]\left[\frac{1}{2},1\right][/itex] is a neighborhood of 1, but not of [itex]\frac{1}{2}[/itex]."

However I can't point out the exactly "r">0 satisfying [itex]B_{[0,1]}(1,r)[/itex][itex]\subseteq[0,1][/itex].

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# On an example of neighborhood.

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