mth536_problem_8_4

mth536_problem_8_4 - M T H 5 3 6 C h a p t e r 8 P r o b l...

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Unformatted text preview: M T H 5 3 6 C h a p t e r 8 P r o b l e m 4 Gene Quinn p. 1/ 4 Chapter 8 Problem 4 Prove that a mapping is continuous if and only if the inverse image of every closed set is closed. p. 2/ 4 Proof of Proposition Let be an arbitr ar y closed subset of . Then is open. By h ypothesis , is contin uous , so is open. p. 3/ 4 Proof of Proposition Let be an arbitr ar y closed subset of . Then is open. By h ypothesis...
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mth536_problem_8_4 - M T H 5 3 6 C h a p t e r 8 P r o b l...

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