Let E and F be compact sets in a metric space (X, d). Show that EUF is compact using the definition of compactness.
Let E and F be compact sets in a metric space (X, d). Show that EUF is compact using the definition of compactness.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.7: Distinguishable Permutations And Combinations
Problem 21E
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![Let E and F be compact sets in a metric space (X, d). Show that EUF is compact
using the definition of compactness.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F545e4110-447f-42e0-86d8-f710095b2322%2F4f727b69-e313-4a48-9dac-9d57455a54a0%2Fdgm6lf_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Let E and F be compact sets in a metric space (X, d). Show that EUF is compact
using the definition of compactness.
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