rsection of any collection of com
Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter1: Fundamentals
Section1.7: Relations
Problem 20E: Give an example of a relation R on a nonempty set A that is symmetric and transitive, but not...
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![Exercise. Suppose that (X, p) is a metric space.
a) Prove that the intersection of any collection of complete subsets of
X is complete.
b) Prove that the union of a finite number of complete subsets of X
is complete.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F7c1bd33e-7629-4704-8b5a-ba6a4ea2320b%2F5e4de21d-ce4f-4ec6-b5f5-b2d2ac06ab63%2F2pzt1oa_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Exercise. Suppose that (X, p) is a metric space.
a) Prove that the intersection of any collection of complete subsets of
X is complete.
b) Prove that the union of a finite number of complete subsets of X
is complete.
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