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Show that if (1) F1 and F2 are connected sets, and (2) F1 ? F2 is not...

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Advance Math

Show that if (1) F1 andF2 are connected sets, and (2)F1 ? F2 is not empty,then  F1 ? F2 isconnected.

also

Suppose that F is connected. Show that F¯ (the closure of F) isalso connected.

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