λ-R_1

Last-modified: 2011-12-27 (火) 22:47:57

Definition

  • A topological space (X, τ) is said to be λ-R_1 if for x, y in X with imgtex.fcgi?%5bres=100%5d%7b%5c%5b%20%5crm%7bCl%7d_%5clambda%28%5c%7bx%5c%7d%29%20%5c%5d%7d%25.png is a subset of U and imgtex.fcgi?%5bres=100%5d%7b%5c%5b%20%5crm%7bCl%7d_%5clambda%28%5c%7by%5c%7d%29%20%5c%5d%7d%25.png is a subset of V.

Remark

Property

Reference

  • Caldas Miguel, Jafari Saeid, On some low separation axioms via λ-open and λ-closure operator., Rend. Circ. Mat. Palermo (2) 54 (2005), no. 2, 195–208.