Question 1. Let Ac X. Show that 7 = {UcX:AcU}u{ø} is a topologyon X .Question 2. Let R be the set of all real numbers. Determine whether or noteach of the following collections of subsets of R is a topology on R. Justifyyour answer.(i) 7, consists of R, ø , and every interval (a, b), for a and b any realnumbers with a

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Answered: Question 1. Let AcX. Show that t= {Uc X…

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Question 1. Let AcX. Show that t= {Uc X :ACU}U{ø} is a topology on X.

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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