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Let be a function between two metric spaces, let be a compact subset of, and let be an open subset of. Which of the following would NOT preclude the continuity of?

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Let<br><img src='https://www.fatskills.com/images2/GradExams/F63C4FBB-25CC-4F53-9DED-A2572FEC49DF.png' height='18' width='96'/> be a function between two metric spaces, let<br><img src='https://www.fatskills.com/images2/GradExams/DDE6EE72-D17F-4D50-89A2-342036F847C6.png' height='14' width='17'/> be a compact subset of<br><img src='https://www.fatskills.com/images2/GradExams/E9C3211F-107A-4A6B-86D3-469D5FF75EBE.png' height='14' width='20'/>, and let<br><img src='https://www.fatskills.com/images2/GradExams/DF7CB5F9-B37B-4BEF-828E-FF1E677D32BB.png' height='15' width='14'/> be an open subset of<br><img src='https://www.fatskills.com/images2/GradExams/E9375C70-69A3-459A-A7D7-9AFB4B6D54D0.png' height='14' width='16'/>. Which of the following would NOT preclude the continuity of<br><img src='https://www.fatskills.com/images2/GradExams/CC0DEDC5-0B06-46A3-A25C-1F5A4BAEFB0B.png' height='18' width='10'/>?





 
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