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submaximal

Last-modified: 2011-10-05 (水) 22:39:26

Definition Edit

A topological space (X,τ) is said to be submaximal if for each 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( or equivalently each dense subset of X is open).

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.