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T_Y

Last-modified: 2011-06-05 (日) 01:12:33

Definition Edit

  • A topological space (X,τ) is said to be T_Y if for all x, y of X such that imgtex.fcgi?%5bres=100%5d%7b%5c%5b%20x%5cneq%20y%20%5c%5d%7d%25.png , imgtex.fcgi?%5bres=100%5d%7b%5c%5b%20%5coverline%7b%5c%7bx%5c%7d%7d%5ccap%5coverline%7b%5c%7by%5c%7d%7d%20%5c%5d%7d%25.png is degenerate.

Property Edit

Reference Edit

  1. Youngs, J.W.T., A note on separation axioms and their application in the theory of a locally connected topological space. [J] Bull. Amer. Math. Soc. 49, 383-385 (1943).
  2. Misra, D. N.; Dube, K. K., Some axioms weaker than the R0-axiom., (Serbo-Croatian summary), Glasnik Mat. Ser. III 8(28) (1973), 145-148.
  3. Guia, Josep, Axioms weaker than R0., (Serbo-Croatian summary), Mat. Vesnik 36 (1984), no. 3, 195–205.