closure converge to a point
closure directed toward a set
almost ω-converges to a set
almost condensation point
ω-continuous functions
weakly ω-continuous functions
ω-compact functions
ω-rigid a set
almost ω-closed functions
ω-perfect functions.
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In this paper introduce some generalizations of some definitions which are, closure converge to a point, closure directed toward a set, almost ω-converges to a set, almost condensation point, a set ωH-closed relative, ω-continuous functions, weakly ω-continuous functions, ω-compact functions, ω-rigid a set, almost ω-closed functions and ω-perfect functions with several results concerning them.