Give an example of an infinite closed set in R which contains no rational numbers. Is...
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Give an example of an infinite closed set in R which contains no rational numbers. Is there a non-empty open set containing no rationals? Show that A is open iff Aº = A and A is closed iff A = A. Give an example of an infinite closed set in R which contains no rational numbers. Is there a non-empty open set containing no rationals? Show that A is open iff Aº = A and A is closed iff A = A.
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The set of all irrational numbers in R is an example of an infinite closed set in R without any rati... View the full answer
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