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Exercise 2. Suppose X is a topological space and A, B are subsets of X. a) Show that A\BCA\B. b) Give an example of X, A, B such that the inclusion above is NOT an equality (i.e. show that the inclusion A\BCA\B is not true in general).

Exercise 2. Suppose X is a topological space and A, B are subsets of X. a) Show that A\BCA\B. b) Give an example of X, A, B such that the inclusion above is NOT an equality (i.e. show that the inclusion A\BCA\B is not true in general).

Advanced Engineering Mathematics
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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Exercise 2. Suppose X is a topological space and A, B are subsets of X. a) Show that A\BCA\ B. b) Give an example of X, A, B such that the inclusion above is NOT an equality (i.e. show that the inclusion A \ B C A\B is not true in general). EHTAM ob of vino boom.no/qOS goloo (viisan of boou on) ali niw (vineri (xidant of boon on) S1 i 2 to 3 osolo
Transcribed Image Text:Exercise 2. Suppose X is a topological space and A, B are subsets of X. a) Show that A\BCA\ B. b) Give an example of X, A, B such that the inclusion above is NOT an equality (i.e. show that the inclusion A \ B C A\B is not true in general). EHTAM ob of vino boom.no/qOS goloo (viisan of boou on) ali niw (vineri (xidant of boon on) S1 i 2 to 3 osolo
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