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Open Sets and Closed Sets in Metric Spaces
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Exercise: In C[0, 1] consider the metric
d(f, g)=int_0^1 |f(x)-g(x)|dx for f, g in C[0, 1].
Determine if the set Omega given in the video is open in this metric space. Please justify your answer.
We discus open sets and closed sets in metric spaces along with the metric topology. The video contains some examples of open sets in metric spaces with justifications.
d(f, g)=int_0^1 |f(x)-g(x)|dx for f, g in C[0, 1].
Determine if the set Omega given in the video is open in this metric space. Please justify your answer.
We discus open sets and closed sets in metric spaces along with the metric topology. The video contains some examples of open sets in metric spaces with justifications.
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