Top > T_a
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Last-modified: 2010-11-25 (木) 11:22:50

Definition Edit

  • A topological space (X,τ) is said to be T_a if the following is satisfied;
    1. imgtex.fcgi?%5bres=100%5d%7b%5c%5b%20%5coverline%7b%5c%7bx%5c%7d%7d=%5c%7bx%5c%7d%20%5c%5d%7d%25.png or imgtex.fcgi?%5bres=100%5d%7b%5c%5b%20%5coverline%7b%5c%7bx%5c%7d%7d%20%5c%5d%7d%25.png contains at least three elements for each point x of X;
    2. X contains at most one element x such that imgtex.fcgi?%5bres=100%5d%7b%5c%5b%20%5coverline%7b%5c%7bx%5c%7d%7d%5cneq%5c%7bx%5c%7d%20%5c%5d%7d%25.png.

Property Edit

  • A normal T_a space is a T_4? space.

Reference Edit

  • Y.W. Kim , A note on separation axioms weaker than T1., Kyungpook Math. J. 6 21-26 (1964).