Question: a. Show that Theorem 5-5 is false if M is not required to be compact. b. Show that Theorem 5-5 holds for noncom-pact M provided

a. Show that Theorem 5-5 is false if M is not required to be compact.
b. Show that Theorem 5-5 holds for noncom-pact M provided that w vanishes outside of a compact subset of M.

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