CERTAIN GENERALIZATION OF SUPERCONTINUITY/Î´-CONTINUITY

D. SINGH, J. K. KOHLI 1. Department of Mathematics, Sri Aurobindo college, University of
Delhi, Delhi-110017, INDIA, e-mail: dstopology@rediffmail.com
2. Department of Mathematics, Hindu college, University of Delhi,
Delhi-110007, INDIA, e-mail: jk kohli@yahoo.co.in

Two generalizations of supercontinuous functions (Indian J. Pure Appl. Maths. 13(1982), 229-236) and Î´ -continuous functions (J. Korean Math. Soc. 16(1980), 161-166) are introduced. Several properties of these generalizations and their relationships with other variants of continuity in the literature are investigated. These

new variants of supercontinuity / Î´ -continuity also generalize certain forms of (almost) strong Î¸-continuity (J. Korean Math. Soc. 18(1981), 21-28; Indian J. Pure Appl. Maths. 15(1) (1984), 1-8).