TY - JOUR
AU - Kohli, J.K.
AU - Singh, D.
AU - Kumar, Rajesh
AU - Aggarwal, Jeetendra
PY - 2010/04/01
Y2 - 2022/12/01
TI - Between continuity and set connectedness
JF - Applied General Topology
JA - Appl. Gen. Topol.
VL - 11
IS - 1
SE -
DO - 10.4995/agt.2010.1727
UR - https://polipapers.upv.es/index.php/AGT/article/view/1727
SP - 43-55
AB - 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.
ER -