Let I be the set of real numbers equipped with the standard topology. Let A and B be two subsets of R defined respectively by A={1,1,2,4}, B = (0, 1) U (1,2). Discuss each of the following questions with justification. (a) Is A open in R? (b) Is B closed in R? (c) Is AUB closed in R?
Let I be the set of real numbers equipped with the standard topology. Let A and B be two subsets of R defined respectively by A={1,1,2,4}, B = (0, 1) U (1,2). Discuss each of the following questions with justification. (a) Is A open in R? (b) Is B closed in R? (c) Is AUB closed in R?
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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![10:03 AM Sat May 21
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Let I be the set of real numbers equipped with the standard topology. Let A and
B be two subsets of R defined respectively by
A = {1,1,2,4}, B = (0, 1) U (1,2).
Discuss each of the following questions with justification.
(a) Is A open in R?
(b) Is B closed in R?
(c) Is AUB closed in R?
98%
Done
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Transcribed Image Text:10:03 AM Sat May 21
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●●●
RESET
Let I be the set of real numbers equipped with the standard topology. Let A and
B be two subsets of R defined respectively by
A = {1,1,2,4}, B = (0, 1) U (1,2).
Discuss each of the following questions with justification.
(a) Is A open in R?
(b) Is B closed in R?
(c) Is AUB closed in R?
98%
Done
||||||||||
| | | | | | | | | | ||
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