TY - JOUR
AU - Kohli, J.K.
AU - Singh, D.
AU - Aggarwal, Jeetendra
PY - 2009/04/01
Y2 - 2024/08/10
TI - F-supercontinuous functions
JF - Applied General Topology
JA - Appl. Gen. Topol.
VL - 10
IS - 1
SE -
DO - 10.4995/agt.2009.1788
UR - https://polipapers.upv.es/index.php/AGT/article/view/1788
SP - 69-83
AB - <p>A strong variant of continuity called ‘F-supercontinuity’ is introduced. The class of F-supercontinuous functions strictly contains the class of z-supercontinuous functions (Indian J. Pure Appl. Math. 33 (7) (2002), 1097–1108) which in turn properly contains the class of cl-supercontinuous functions ( clopen maps) (Appl. Gen. Topology 8 (2) (2007), 293–300; Indian J. Pure Appl. Math. 14 (6) (1983), 762–772). Further, the class of F-supercontinuous functions is properly contained in the class of R-supercontinuous functions which in turn is strictly contained in the class of continuous functions. Basic properties of F-supercontinuous functions are studied and their place in the hierarchy of strong variants of continuity, which already exist in the mathematical literature, is elaborated. If either domain or range is a functionally regular space (Indagationes Math. 15 (1951), 359–368; 38 (1976), 281–288), then the notions of continuity, F-supercontinuity and R-supercontinuity coincide.</p>
ER -