Explore BrainMass

Explore BrainMass

    Compact subsets

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

    Define a new metric d on X = (0, 1/2)^2 by d((a,b), (r,s)) = 1 if a is not equal to r Or |b - s| if a = r.
    a) Show that d is a metric on X.
    b) What are the compact subsets of X? Prove your statement.

    © BrainMass Inc. brainmass.com October 10, 2019, 2:08 am ad1c9bdddf

    Solution Summary

    This solution explains how to prove that one variable is a subset of another one. Additionally, it shows how to prove what the compact subsets are of the given variable.