Abstract
A new class of functions called `pseudo cl-supercontinuous' functions is introduced. Basic properties of pseudo cl-supercontinuous functions are studied and their place in the hierarchy of variants of continuity which already exist in the mathematical literature is discussed. The interplay between topological properties and pseudo cl-supercontinuity is investigated. Function spaces of pseudo cl-supercontinuous functions are considered and sufficient conditions for their closedness and compactness in the topology of pointwise convergence are formulated.
Cuvinte cheie
regular F_{σ}-set
D_{δ}T₀-space
ultra Hausdorff space
D_{δ}- Hausdorff space
local-ly connected
strongly continuous
topology of pointwise convergence
sum connected space