Journals / European Journal of Pure and Applied Mathematics (elektronik) / 2009 / Cilt: 2 - Sayı: 1
Locally $beta$ -closed spaces
- Pages
- 85–96
- DOI
- —
Abstract
In this paper, we generalize the notion of $beta$ -closed-ness [7] to arbitrary subsets and in terms of it we introduce the class of locally $beta$ -closed spaces and also investigate of its several properties. It is observed that although local $beta$ -closedness is independent of local compact T2-ness but one can be obtained from the other by the help of a new class of functions viz. -$beta$-$theta$-closed functions which are independent not only of closed functions but also of continuous functions.