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Math 3333Homework 4 SolutionsName:Peoplesoft ID:Show your work. If a problem requires a proof, explain and justify your steps carefully.Homework papers should be legible and neat, and the pages should be stapled togetherin the correct order. Illegible work may not be graded.Homework should be submittedin classon the indicated due date. Submissions byemail or to the math office will not be accepted.1. TRUE–FALSE. If your answer is “True,” justify by quoting a definition ortheorem, or by giving a proof. If your answer is “False,” give a counter-example.(a) IfSis a finite set, thenSis compact.
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Topology, Empty set, accumulation point, Finite set, Closed set, General topology