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door

Last-modified: 2013-04-19 (金) 13:03:46

Definition Edit

A topological space (X,τ) is said to be door if each subset of X is either open or closed.

Property Edit

Reference Edit

  1. Kennedy, G. J.; McCartan, S. D., Minimal weakly submaximal topologies. (English summary), Math. Proc. R. Ir. Acad. 99A (1999), no. 2, 133–140.
  2. McSherry, D. M. G. , On separation axioms weaker than T_1. , Proc. Roy. Irish Acad. Sect. A 74 (1974), 115–118.