Separating H-sets by Open Sets
Printed: Jun 2010
In an H-closed, Urysohn space, disjoint H-sets can be separated by disjoint open sets. This is not true for an arbitrary H-closed space even if one of the H-sets is a point. In this paper, we provide a systematic study of those spaces in which disjoint H-sets can be separated by disjoint open sets.
H-set, H-closed, θ, -continuous
54C08 - Weak and generalized continuity
54D10 - Lower separation axioms ($T_0$--$T_3$, etc.)
54D15 - Higher separation axioms (completely regular, normal, perfectly or collectionwise normal, etc.)