Question 4 Let h: R - R be defined by h (x) = { 1, 0

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Question 4
Let h: R - R be defined by
h (æ) = {
1, 0 <x<1
0, otherwise
Give an open set G such that h- (G) is not open in R, and a closed set F
such that h- (F) is not closed in R.
Transcribed Image Text:Question 4 Let h: R - R be defined by h (æ) = { 1, 0 <x<1 0, otherwise Give an open set G such that h- (G) is not open in R, and a closed set F such that h- (F) is not closed in R.
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