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Λ^s_δ-symmetric

Last-modified: 2011-04-16 (土) 23:21:58

Definition Edit

  • A topological space (X,τ) is (Λ,sδ)-symmetric if for points x and y in X, imgtex.fcgi?%5bres=100%5d%7b%5c%5b%20x%5cin%20y%5e%7b%28%5cLambda%2cs%5cdelta%29%7d%20%5cmbox%7b%20implies%20%7dy%5cin%20x%5e%7b%28%5cLambda%2cs%5cdelta%29%7d%20%5c%5d%7d%25.png, where imgtex.fcgi?%5bres=100%5d%7b%5c%5b%20x%5e%7b%28%5cLambda%2cs%5cdelta%29%7d%20%5c%5d%7d%25.png is the (Λ,sδ)-closure of the set {x}.

Property Edit

Reference Edit

  • Caldas, M.; Ganster, M.; Georgiou, D. N.; Jafari, S.; Moshokoa, S. P., δ-semiopen sets in topology. (English summary), Proceedings of the 19th Summer Conference on Topology and its Applications., Topology Proc. 29 (2005), no. 2, 369–383.