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In: Advanced Math

Show that if (1) F1 and F2 are connected sets, and (2) F1 ∩ F2 is...

Show that if (1) F1 and F2 are connected sets, and (2) F1F2 is not empty, then  F1F2 is connected.

also

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

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