Q#3 Let X beinfimite set and let z comsist ofare countable.anConØ and all subsels of x whose complementsProve that (X, z) istopological space.

Consider, I=A⊂X : Ac is countable ∪ϕSince,Xc=ϕ is countable, X∈I Also given, ϕ∈I Assume, Aii∈N∈I…

Answered: Let x be O and all subsels f X whose…

Let x be O and all subsels f X whose complements Prove that (X, z) infimite set and let z consist of are cauntable. an (X, Z) is topological space

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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Question

Q#3 Let X be
infimite set and let z comsist of
are countable.
an
Con
Ø and all subsels of x whose complements
Prove that (X, z) is
topological space.

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