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weakly submaximal

Last-modified: 2013-07-21 (日) 00:01:18

Definition Edit

A topological space (X,τ) is said to be weakly submaximal if for each finite subset A of X, imgtex.fcgi?%5bres=100%5d%7b%5c%5b%20%5coverline%7bA%7d%5csetminus%20A%20%5c%5d%7d%25.png is closed.

Property Edit

  • weakly submaximal ⇒ T_F+T_D.

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.