δ-open

Last-modified: 2011-11-11 (金) 14:55:23

Definition

  • A subset A of a topological space (X,τ) is called δ-open if imgtex.fcgi?%5bres=100%5d%7b%5c%5b%20A=%5crm%7bInt%7d_%7b%5cdelta%7d%28A%29%20%5c%5d%7d%25.png , where imgtex.fcgi?%5bres=100%5d%7b%5c%5b%20%5crm%7bInt%7d_%7b%5cdelta%7d%28A%29%20%5c%5d%7d%25.png is the δ-interior of the set A.

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.