@article{Kohli_Singh_Kumar_Aggarwal_2010, title={Between continuity and set connectedness}, volume={11}, url={https://polipapers.upv.es/index.php/AGT/article/view/1727}, DOI={10.4995/agt.2010.1727}, abstractNote={Two new weak variants of continuity called ’R-continuity’and ’F-continuity’ are introduced. Their basic properties are studied and their place in the hierarchy of weak variants of continuity, that already exist in the literature, is elaborated. The class of R-continuous functions properly contains the class of continuous functions and is strictly contained in each of the three classes of (1) faintly continu-ous functions studied by Long and Herrignton (Kyungpook Math. J.22(1982), 7-14); (2) D-continuous functions introduced by Kohli (Bull.Cal. Math. Soc. 84 (1992), 39-46), and (3) F-continuous functions which in turn are strictly contained in the class of z-continuous functions studied by Singal and Niemse (Math. Student 66 (1997), 193-210).So the class of R-continuous functions is also properly contained in each of the classes of Dâˆ—-continuous functions, D-continuous function and set connected functions.}, number={1}, journal={Applied General Topology}, author={Kohli, J.K. and Singh, D. and Kumar, Rajesh and Aggarwal, Jeetendra}, year={2010}, month={Apr.}, pages={43–55} }