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OpenStudy (anonymous):
Is (a,b) open on R^2
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Miracrown (miracrown):
No, it is not
Miracrown (miracrown):
In R^2, any open ball around a point in (a,b) contains both points in (a,b) and points not in (a,b). So (a,b) cannot be an open set.
Miracrown (miracrown):
It is an open set in R though.
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