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Give an example of each of the following or prove that such a request is impossible. a) open set A that cannot be represented as union of two open sets, b) a set that is not open in a discrete metric space

Give an example of each of the following or prove that such a request is impossible. a) open set A that cannot be represented as union of two open sets, b) a set that is not open in a discrete metric space

Elements Of Modern Algebra
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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Give an example of each of the following or prove that such a request is impossible. a) open set A that cannot be represented as union of two open sets, b) a set that is not open in a discrete metric space
Transcribed Image Text:Give an example of each of the following or prove that such a request is impossible. a) open set A that cannot be represented as union of two open sets, b) a set that is not open in a discrete metric space
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