Q Let X beInfinite selwith topdogy T.anProvedisprove :or(a) If every nfinite suhsel af x s closedIn (X), then ? is the discrete topology.(b) If every infinite Subset of X is openIn (X,x), thanis the diserete topology.Solution.Loالمزیدتعديلحذفالمفضلةمشاركة

Answered: Image /qna-images/answer/fe9adcbd-73c7-4208-b7c9-904362eaee80.jpg

Q Let X be an Infinite sel with topdogy ?. Prove or disprove : (a) If every mfinite Suhsel of x i closed Xs clased In (X7), then is the discrete topoloy. (b) If every infinite Subset of X is open In (X.x), then is the diserete topology. Solution.

Q Let X be an Infinite sel with topdogy ?. Prove or disprove : (a) If every mfinite Suhsel of x i closed Xs clased In (X7), then is the discrete topoloy. (b) If every infinite Subset of X is open In (X.x), then is the diserete topology. Solution.

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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Q Let X be
Infinite sel
with topdogy T.
an
Prove
disprove :
or
(a) If every nfinite suhsel af x s closed
In (X), then ? is the discrete topology.
(b) If every infinite Subset of X is open
In (X,x), than
is the diserete topology.
Solution.
Lo
المزید
تعديل
حذف
المفضلة
مشاركة

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