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1.86 Prove or give a counterexample: Every open cover of a finite subset of R has a finite subcover. (Note: For the real line, the phrase finite subset does not mean the same thing as finite interval.)

1.86 Prove or give a counterexample: Every open cover of a finite subset of R has a finite subcover. (Note: For the real line, the phrase finite subset does not mean the same thing as finite interval.)

Elements Of Modern Algebra
Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter2: The Integers
Section2.3: Divisibility
Problem 1TFE: Label each of the following statements as either true or false. The Well-Ordering Theorem implies...
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Prove or give a counterexample: Every open cover of a finite subset of R has a finite subcover. (Note: For the real line, the phrase finite subset does not mean the same thing as finite interval.)
Transcribed Image Text:Prove or give a counterexample: Every open cover of a finite subset of R has a finite subcover. (Note: For the real line, the phrase finite subset does not mean the same thing as finite interval.)
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