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Λ^s_δ-set

Last-modified: 2011-04-16 (土) 19:45:23

Definition Edit

  • Let A be a subset of a topological space (X,τ). By imgtex.fcgi?%5bres=100%5d%7b%5c%5b%20%5cLambda%5es_%5cdelta%28A%29%20%5c%5d%7d%25.png we denote the set imgtex.fcgi?%5bres=100%5d%7b%5c%5b%20%5ccap%5c%7bO%5cin%5cdelta%20SO%28X%2c%5ctau%29:%5c%20A%5csubset%20O%5c%7d%20%5c%5d%7d%25.png, where δSO(X,τ) is the collection of all δ-semiopen sets. The subset A of X is called δ-Λ_s-semiclosed, denoted by Λ^s_δ-set, if imgtex.fcgi?%5bres=100%5d%7b%5c%5b%20A=%5cLambda%5es_%5cdelta%28A%29%20%5c%5d%7d%25.png.

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.