Q2. Answer as true or false: (a) f-'((AUB)nC) = (ƒ-'(A)n f-1C)) U (f-1(B) n f-1(C)). (b) Given the mapping (N,T) is the cofinite topology. If A; = {3i +1} is closed set,then JA; is a closed set. i=1

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Q2. Answer as true or false:
(a) f-'((AUB)nC) = (f-'(A)n f-lC)) U (f-'(B) n f-1(C)).
(b) Given the mapping (N,T) is the cofinite topology.
If A; = {3i+ 1} is closed set,then UA; is a closed set.
i=1
Transcribed Image Text:Q2. Answer as true or false: (a) f-'((AUB)nC) = (f-'(A)n f-lC)) U (f-'(B) n f-1(C)). (b) Given the mapping (N,T) is the cofinite topology. If A; = {3i+ 1} is closed set,then UA; is a closed set. i=1
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