of a space X and let x e X. Then x e A iff there exists a net in A (that is a net whi to x in X.

Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter7: Real And Complex Numbers
Section7.1: The Field Of Real Numbers
Problem 5TFE: Label each of the following statements as either true or false. If a nonempty set contains an upper...
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Let A be a subset of a space X and let x e X. Then x e Aiff there exists a net in A (that is a net which takes values in the set A)
which converges to x in X.
Transcribed Image Text:Let A be a subset of a space X and let x e X. Then x e Aiff there exists a net in A (that is a net which takes values in the set A) which converges to x in X.
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