Is R Compact with This Topology?
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Please solve the following problem:
" Let X be any set with infinite elements ; is it true that
A = { A a subset of X : X - A is either finite or countable} U { X,0} is a topology on X ?. Why ? ( note: the 0 means the empty set).
Is R compact with this topology?
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Solution Summary
The solution determines if R is compact with the topology.
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