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### Problem_set_3

Course: MATH 140, Fall 1998
School: UCSD
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Word Count: 111

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set Problem 3 Do for Monday, January 29. (To be handed in at section, or before.) Rudin, p. 43: #5, #9(d,e,f), #10, #14 Also: 1. If E1 and E2 are subsets of a metric space X such that E1 E2 and E1 is dense in X, show that E2 is dense in X. Hint: It's easy! 2. For R2 , consider the two following different metrics. Let d be the usual distance in the plane, and let be the metric given by ((x1 , y1 ), (x2 , y2 )) =...

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set Problem 3 Do for Monday, January 29. (To be handed i...
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