CRN 11982: HW 6

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Problem 26. Exercise 3.3.1

Problem 27. Exercise 3.3.7 (b,c,e)

Problem 28. Exercise 3.3.9 (b,e)

Problem 29. Exercise 3.3.10

Problem 30. A set $X$ is called LP-compact, if every infinite subset $A$ of $X$ has a limit point belonging to $X$.

Show that a set is LP-compact if and only if it is closed and bounded.

Hint: Recall that every bounded infinite set has a limit point.

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