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Disconnecting the plane.
Posted:
Jun 26, 2013 1:20 AM


Here's a toughie from AskaTopologist.
Let L be a closed subspace of R^2 for which every point of L is a cut point. Is R^2  L disconnected. I think so. How could it be proven (or disproved) that R^2  I is disconnected? Could this problem be related to the Jordan curve theorem?



