Find an infinite collection {Kn: n N} of compact sets in R such that the union U K₂ is not compact. n=1

Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter1: Fundamentals
Section1.4: Binary Operations
Problem 9E: 9. The definition of an even integer was stated in Section 1.2. Prove or disprove that the set of...
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7. Find an infinite collection {Kn :n E N} of compact sets in R such that the union U Kn is not
n=1
compact.
Prove thot the intersection
orbitrory colloction of comnoct sets
ID is co mpoct
Transcribed Image Text:7. Find an infinite collection {Kn :n E N} of compact sets in R such that the union U Kn is not n=1 compact. Prove thot the intersection orbitrory colloction of comnoct sets ID is co mpoct
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