ultra regular

Last-modified: 2012-12-29 (土) 23:34:12

Definition

  • A topological space (X,τ) will be called ultra regular, or UR, if disjoints points and closed sets are ultraseparated; equivalently, if S has a basis consisting of clopen sets.

Reference

  • Staum, Richard, The algebra of bounded continuous functions into a nonarchimedean field., Pacific J. Math. 50 (1974), 169-185.