6.1.5. Problem. Let J be the open unit interval (0, 1). For each a let Ua...

6.1.5. Problem. Let J be the open unit interval (0, 1). For each a let Ua = ?a, a + 1 ?, and let

U = {Ua : 0 ≤ a ≤ 34 }. Then certainly U covers J .

(a) Find a finite subfamily of U which covers J.

(b) Explain why a solution to (a) does not suffice to show that J is compact.

(c) Show that J is not compact.

Expert Solution

Colby Messinger answered 2 years ago

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Question

6.1.5. Problem. Let J be the open unit interval (0, 1). For each a let Ua...

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