What if is a separation of
We know that because is connected we have .
Say . What does that say about
Use similar argument for .
Hello, this is a problem from Munkres: Let X and Y be conected spaces such that . If A and B are a separation of X-Y prove that are conected.
I can only prove that is conected and since I've read from a Spanish transation I wonder whether the problem is correctly formulated.