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strong T_D

Last-modified: 2010-11-25 (木) 11:22:24

Definition Edit

  • A topological space (X,τ) is said to be strong T_D if for each point x of X, the derived set {x}' is a finite union of closed sets, the intersection of the non-empty members of which is empty.

Property Edit

  • A normal strong T_D space is T_4? space.

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).