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strong T_0

Last-modified: 2010-11-25 (木) 11:14:23

Definition Edit

  • A topological space (X,τ) is said to be strong T_0 if for each point x of X, the derived set {x}' is a finite union of a family of closed sets such that the intersection of non-empty members of the family is empty and at least one of the non-empty members is compact.

Property Edit

Reference Edit

  • Singal, Asha Rani, Remarks on separation axioms. (English) [A] General Topology Relations modern Analysis Algebra, Proc. Kanpur topol. Conf. 1968, 265-296 (1971).