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α-open

Last-modified: 2010-07-29 (木) 13:51:47

Definition Edit

A set is said to be α-open if it is the difference of an open and a nowhere dense set.

Remark Edit

  • Every α-open set is preopen but not vice versa.

Reference Edit

J. Dontchev, M. Ganster and T. Noiri, On p-closed spaces, Internat. J. Math. & Math. Sci. Vol.24, No.3 (2000) pp.203-212.