Determining compact subsets

Reference no: EM13134647

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.

Reference no: EM13134647

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