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Last-modified: 2012-03-29 (木) 22:54:44

Definition Edit

  • Let (X, τ) be a topological space. A subset S ⊆ X is called semi-open if there exists a open set O such that O ⊆ S ⊆ Cl(O).

Property Edit

  • Every semi-open set is sg-open but the converse is not true.

Reference Edit

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