δ-interior

Last-modified: 2011-11-11 (金) 15:07:45

Definition

  • The δ-interior of a subset A of a topological space (X,τ), denoted by 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 union of all regular open sets of (X,τ) contained in 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.