hw2additional - ( x, A ) = 0 if and only if x A . b. Show...

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Homework 2, Additional Problem. (1) Let ( X, d ) be a metric space and let A X be a non-empty subset. Define d ( x, A ) = inf { d ( x, y ) : y A } . a. Prove d
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Unformatted text preview: ( x, A ) = 0 if and only if x A . b. Show that | d ( x, A )-d ( y, A ) | d ( x, y ) , for all x, y X . 1...
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This note was uploaded on 02/05/2012 for the course MATH 703 taught by Professor Schep during the Fall '11 term at South Carolina.

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