3333_HW4_solutions.pdf - Math 3333 Homework 4 Solutions...

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Math 3333 Homework 4 Solutions Name: 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 together in the correct order. Illegible work may not be graded. Homework should be submitted in class on the indicated due date. Submissions by email 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.In all cases,Srepresents a non-empty subset ofR.(a) Ifα= supSandα /S, thenαis an accumulation point ofS.
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(b) Ifβ= infSandβ /S, thenSdoes not have a minimum. (c) Ifβ= infSandxis an accumulation point ofS,thenxβ.
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  • Fall '19
  • Topology, Closed set, General topology, sup s

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