@article{Tyagi_Bhardwaj_Singh_2022, title={\(\alpha_\beta\)-Connectedness as a characterization of connectedness}, volume={9}, url={https://m-sciences.com/index.php/jast/article/view/250}, abstractNote={<p style="text-align: justify;">In this paper, a new class of \(\alpha_\beta\)-open sets in a topological space \(X\) is introduced which forms a topology on \(X\). The connectedness of this new topology on \(X\), called \(\alpha_\beta\)-connectedness, turns out to be equivalent to connectedness of \(X\) and hence also to \(\alpha\)-connectedness of \(X\). The \(\alpha_\beta\)-continuous and \(\alpha_\beta\)-irresolute mappings are defined and their relationship with other mappings such as continuous mappings and \(\alpha\)-continuous mappings are discussed. An intermediate value theorem is obtained. The hyperconnected spaces constitute a subclass of \(\alpha_\beta\)-connected spaces.</p>}, number={2}, journal={Journal of Advanced Studies in Topology}, author={Tyagi, B. K. and Bhardwaj, Manoj and Singh, Sumit}, year={2022}, month={Jun.}, pages={119–129} }