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Show that any open subset of R (w std. topology) is a countable union of...

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Advance Math



Show that any open subset of R (w std. topology) is a countable union of open intervals.

What is the objective of this problem and enough to show ?

Answer & Explanation Solved by verified expert
3.6 Ratings (328 Votes)
Answer First recall that the standard topology of is the topology generated by the basis Thus an open subset in the standard topology is a subset which can be written as union    See Answer
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