Let be closed subsets of a connected space such that . How to show are connected, if is connected. I traied this: Suppose is not connected and let be sepration of , then, must lie in (say) So, form separation of x is this right
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Originally Posted by rqeeb Let be closed subsets of a connected space such that . How to show are connected, if is connected. I traied this: Suppose is not connected and let be sepration of , then, must lie in (say) So, form separation of x Now say that likewise must be connected.
Originally Posted by Plato Now say that likewise must be connected. but now the problem is: To show AUS and S are spen in X we know that S & T are open in B, and B is closed in X. Bur how to show they r open in X?
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