weakly separated
Last-modified: 2010-11-25 (木) 00:57:29
Definition
- Let (X,T) be topological space and let A and B be subsets of X. We say that A is weakly separated from B iff there exists an open set
such that
.
Definition 2
- Let (X,T) be topological space and let A and B be subsets of X. We say that A and B are weakly separated if and only if
are separated.
Reference
- Definition
- Aull, Charles E.; Thron, W.J.,Separation axioms between T0 and T1., (English) [J] Nederl. Akad. Wet., Proc., Ser. A 65, 26-37 (1962).
- Definition 2
- Zbigniew Karno , Separated and Weakly Separated Subspaces of Topological Spaces, JOURNAL OF FORMALIZED MATHEMATICS Volume 4, Released 1992, Published 2003