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A function f is left-dense continuous, if f is continuous at each left dense point in T and its right-sided limits exists at each right dense points.
Francis made the radio calls at each left turn in the traffic pattern.
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A function is rd-continuous provided it is continuous at each right-dense point in and has a left-sided limit at each left-dense point in.
A function is left-dense continuous (i.e., -continuous), if is continuous at each left-dense point in and its right-sided limit exists at each right-dense point in.
The function f : T → R is called ld-continuous provided that it is continuous at each left-dense point and has a right-sided limit at each point, write f ∈ C ld ( T ) = C ld ( T, R ).
A function f : T → R is said to be rd-continuous provided it is continuous at right-dense points in T and at each left-dense point t in T the left hand limit at t exists (finite).
A function is right-dense continuous provided that it is continuous at each right-dense point (a point where ) and has a left-sided limit at each left-dense point.
A function is left-dense continuous (i.e., ld-continuous) if is continuous at each left-dense point in and its right-sided limit exists (finite) at each right-dense point in.
If has a left-scattered maximum M, define T k = T − { M } ; otherwise set T k = T. Definition 2.2 A function f : T → R is rd-continuous (rd-continuous is short for right-dense continuous) provided it is continuous at each right-dense point in and has a left-sided limit at each left-dense point in.
[3] A function f : T → ℝ is rd-continuous (rd-continuous is short for right-dense continuous) provided it is continuous at each right-dense point in T and has a left-sided limit at each left-dense point in T. The set of rd-continuous functions f : T → ℝ will be denoted by C r d ( T ) = C r d ( T, ℝ ).
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