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1. If set A is compact, show that f(A) is compact. Is the converse true?
2. If set A is connected, show that f(A) is connected. Is the converse true?
3. If set B is closed, show that B inverse is closed.
Any help with any or all of these three would be greatly appreciated.
Stumped!
2. If set A is connected, show that f(A) is connected. Is the converse true?
3. If set B is closed, show that B inverse is closed.
Any help with any or all of these three would be greatly appreciated.
Stumped!