@article{Basu_2009, title={Locally Beta-closed Spaces}, volume={2}, url={https://www.ejpam.com/index.php/ejpam/article/view/176}, abstractNote={<p align="left">In this paper, we generalize the notion of $\beta$<span style="font-family: CMR12;">-closedness due to Abd. El-Monsef and Kozae [2] to arbitrary subsets and in terms of it we introduce the class of locally $\beta$</span><span style="font-family: CMR12;">-closed spaces and also investigate of its several properties. It is observed that although local $\beta$</span><span style="font-family: CMR12;">-closedness is independent of local compact $</span><span style="font-family: CMMI12;">T_{</span><span style="font-size: xx-small; font-family: CMR8;"><span style="font-size: xx-small; font-family: CMR8;">2}$</span></span><span style="font-family: CMR12;">-ness but one can be obtained from the other by the help of a new class of functions viz. $\beta$</span><span style="font-family: CMR12;">-$\theta$</span><span style="font-family: CMR12;">-closed functions which are independent not only of closed functions but also of continuous functions.</span></p>}, number={1}, journal={European Journal of Pure and Applied Mathematics}, author={Basu, Chanchal Kumar}, year={2009}, month={Jul.}, pages={85–96} }