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.
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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