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semi-T_1

Last-modified: 2013-04-19 (金) 13:13:06

Definition Edit

  • A topological space (X, τ) is called a semi-T_1 space if for x, y ∈ X such that imgtex.fcgi?%5bres=100%5d%7b%5c%5b%20x%5cneq%20y%20%5c%5d%7d%25.png there exists a semi-open set containing x but not y and a semi-open set containing y but not x.

Property Edit

Reference Edit

  • Bhattacharyya Paritosh, Lahiri B. K., Semigeneralized closed sets in topology., Indian J. Math. 29 (1987), no. 3, 375-382 (1988).