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semi-D_1

Last-modified: 2010-12-08 (水) 02:49:52

Definition Edit

  • A topological space (X,τ) is called semi-D_1 if for imgtex.fcgi?%5bres=100%5d%7b%5c%5b%20x%2cy%5cin%20X%2c%5c%20x%5cneq%20y%20%5c%5d%7d%25.png , there exists a sD-sets of X one containing x but not y and the other containing y but not x.

Property Edit

  • If (X,τ) is semi-D_1, then it is semi-D_0.

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).