Abstract
Two generalizations of supercontinuous functions (Indian J. Pure Appl. Maths. 13(1982), 229-236) and δ -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 / δ -continuity also generalize certain forms of (almost) strong θ-continuity (J. Korean Math. Soc. 18(1981), 21-28; Indian J. Pure Appl. Maths. 15(1) (1984), 1-8).
Cuvinte cheie
supercontinuous function
δ -continuous
function
d_ δ -map
quasi θ -continuous function
regular G_ δ -set
regular
G_ δ -embedded
δ -partition topology
D_ δ T0-space
δ -completely regular
space
δ θ -closed graph
D_ δ -compact space
extremally disconnected
space.