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α-T_2

Last-modified: 2010-12-08 (水) 02:27:59

Definition Edit

  • A topological space (X,τ) is said to be α-T_2 if for any distinct pair of points x and y in X, there exist α-open sets U and V in X containing x and y, respectively, such that imgtex.fcgi?%5bres=100%5d%7b%5c%5b%20U%5ccap%20V=%5cemptyset%20%5c%5d%7d%25.png

Reference Edit

  • 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.