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Topic:
Baire Example
Replies:
6
Last Post:
Aug 21, 2014 12:25 AM




Baire Example
Posted:
Aug 18, 2014 2:30 AM


Let A subset S, be a Baire subspace. Is cl A a Baire subspace? No.
Within S = N \/ {p} with the topology { A, S  A subset N }, N is a Baire subspace and S = cl N isn't.
S is T0 and not T1. Is there a T1 or Hausdorff counter example?



