Explore BrainMass

Explore BrainMass

    Real Analysis and Disjoint Open Sets

    This content was COPIED from BrainMass.com - View the original, and get the already-completed solution here!

    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.

    © BrainMass Inc. brainmass.com February 24, 2021, 2:32 pm ad1c9bdddf

    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.