Let A and B be any two subsets of a metric space (X, d). Then (1) A is a closed set. biso (2) If ACB, then AC B. indi (3) A is the smallest closed superset of A.
Let A and B be any two subsets of a metric space (X, d). Then (1) A is a closed set. biso (2) If ACB, then AC B. indi (3) A is the smallest closed superset of A.
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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Transcribed Image Text:Let A and B be any two subsets of a metric space (X, d). Then
(1) A is a closed set.
obsr
(2) If ACB, then A C B.
(3) A is the smallest closed superset of A.
(4) A = A if and only if A is closed.
(5) A is the intersection of all closed sets containing A.
(6) AUB= ĀUB
%3D
(7) ANBCA OB
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