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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F7b2e9616-57bd-4cf0-9a5f-b350adc50c70%2Ffe9adcbd-73c7-4208-b7c9-904362eaee80%2Fqdvkyjs_processed.jpeg&w=3840&q=75)
Transcribed Image Text: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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