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semi-D_2

Last-modified: 2010-12-08 (水) 02:55:50

Definition Edit

  • A topological space (X,τ) is called semi-D_2 if for any distinct pair of points x and y of X , there exist disjoint sD-sets imgtex.fcgi?%5bres=100%5d%7b%5c%5b%20U%5cmbox%7b%20and%20%7dV%5cmbox%7b%20such%20that%20%7d%20x%5cin%20U%5cmbox%7b%20and%20%7d%20y%5cin%20V%20%5c%5d%7d%25.png.

Property Edit

  • If (X,τ) is semi-D_2, then it is semi-D_1.

Reference Edit

  • Athisaya Ponmani, S.; Lellis Thivagar, M., Another form of separation axioms. , (English) [J] Methods Funct. Anal. Topol. 13, No. 4, 380-385 (2007).