Λ^s_δ-D_0

Last-modified: 2011-04-16 (土) 15:17:18

Definition

  • A topological space (X,τ) is said to be Λ^s_δ-D_0 if for any distinct pair of points x and y of X there exists a Λ^s_δ-D set of X containing x but not y or a Λ^s_δ-D set of X containing y but not x.

Property

  • A topollogical space X is Λ^s_δ-D_0 if and only if it satisfies the (Λ,sδ)-property.

Reference

  • 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.