Explore BrainMass

Real Analysis and Disjoint Open Sets

Let A and B be subsets of R show that if there exists disjoint open sets U and V with A subset or equal of U and B subset or equal of V then A and B are separated.

Solution Preview


If A and B are not separated, then any open set containing A must have intersection points with B, or ...

Solution Summary

This is a proof regarding disjoint and separated sets.