Exercise 8. Assume A, B are subsets of the topological space X. a) If AC B, show Å C B. b) Show that Int(An B) = Ån B. c) Show that AUBC Int(AUB). Give an example with ÅUB ‡ Int(AUB).
Exercise 8. Assume A, B are subsets of the topological space X. a) If AC B, show Å C B. b) Show that Int(An B) = Ån B. c) Show that AUBC Int(AUB). Give an example with ÅUB ‡ Int(AUB).
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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Need parts A, B and C
Transcribed Image Text:Exercise 8. Assume A, B are subsets of the topological space X.
a) If AC B, show Å C B.
b) Show that Int(An B) = Ån B.
O
c) Show that ÅUB C Int(AUB). Give an example with µŠ‡ Int(AUB).
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