p6 - E R 1 has at most countably many isolated points. #3....

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Math 5615H: Introduction to Analysis I. Fall 2011 Homework #6 (due on Wednesday, October 19). 50 points are divided between 5 problems, 10 points each. #1. Show that for an arbitrary set E in a metric space ( X,d ), the set E of its limit point is closed. #2. Show that any set
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Unformatted text preview: E R 1 has at most countably many isolated points. #3. Give an example of a metric space ( X,d ) in which any subset E X is compact if and only if it is nite. #4. Exercise 9 (d,e,f) on p. 43. #5. Exercise 11 on p. 44....
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This document was uploaded on 02/15/2012.

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