Supply proofs for the following miscellaneous propositions from the course in a metric space context: (1)...

Supply proofs for the following miscellaneous propositions from the course in a metric space context:

(1) A compact set (you may use either definition) is closed and bounded.

(2) An epsilon-neighborhood is an open set.

(3) A set is open if and only if its complement is closed.

Expert Solution

Colby Messinger answered 2 years ago

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