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semi-R_0

Last-modified: 2011-02-18 (金) 02:49:19

Definition Edit

  • A topological space (X,τ) is said to be semi-R_0 if every semi-open set contains the semi-closure of each of its singletons, that is, for each semi-open set O in X and each x in O, imgtex.fcgi?%5bres=100%5d%7b%5c%5b%20%5cmbox%7bs-cl%7d%28%5c%7bx%5c%7d%29%5csubset%20O%20%5c%5d%7d%25.png.

Property Edit

Reference Edit

  1. Caldas, M.; Georgiou, D. N.; Jafari, S. , Characterizations of low separation axioms via α-open sets and α-closure operator., (English summary) Bol. Soc. Parana. Mat. (3) 21 (2003), no. 1-2, 97–111.
  2. Arya, S.P.; Nour, T.M., Weakly semi-R_0 spaces., (English) [J] Indian J. Pure Appl. Math. 21, No.12, 1083-1085 (1990).