Problem 8. Let Rf be the set of all real numbers with finite complement topology. In this topology G is open if it is the empty set or R – G is finite. Find the closure of [0, 1) = {x ≤R|0 ≤ x < 1} in Rf.

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Problem 8. Let Rf be the set of all real numbers with finite complement
topology. In this topology G is open if it is the empty set or R – G is finite.
Find the closure of [0, 1) = {x ≤ R|0 ≤ x < 1} in Rf.
Transcribed Image Text:5 Problem 8. Let Rf be the set of all real numbers with finite complement topology. In this topology G is open if it is the empty set or R – G is finite. Find the closure of [0, 1) = {x ≤ R|0 ≤ x < 1} in Rf.
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