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Michael construction
Posted:
Feb 28, 2013 11:27 PM


Let M be a subset of a normal space S. Define S_M as S given the base { U, {x}  U open within S, x in M } (Michael construction).
If in addition, S\M is normal, is S_M normal?
It's know that if M is open or if S is hereditarily normal, then S_M is normal. (Normal is used without requiring Hausdorff.)



