Find an open cover for R that does not have a finite sub cover. Show that...
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Find an open cover for R that does not have a finite sub cover. Show that it cannot have a finite sub cover. Does it have a countable sub cover? (12 points) Prove that [0, ∞] is not compact by exhibiting an open cover that has no finite sub cover. Prove that there cannot be a finite sub cover for the cover given. (12 points) Find an open cover for R that does not have a finite sub cover. Show that it cannot have a finite sub cover. Does it have a countable sub cover? (12 points) Prove that [0, ∞] is not compact by exhibiting an open cover that has no finite sub cover. Prove that there cannot be a finite sub cover for the cover given. (12 points)
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SOLUTION Let nn NEIN An U MEIN An is an open cover of IR Let An Possible let the above open cover ... View the full answer
Related Book For
Introduction To Mathematical Statistics And Its Applications
ISBN: 9780321693945
5th Edition
Authors: Richard J. Larsen, Morris L. Marx
Posted Date:
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