Przeglądaj według tematu "Baire property"
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Covering functions by countably many functions from some families
(Springer Science + Business Media New York, 2013-10)Let A be a nonempty family of functions from R to R. A function f : R → R is said to be strongly countably A-function if there is a sequence (fn) of functions from A such that Gr(f) ⊂ n Gr(fn) (Gr(f) denotes the graph of ... -
On the measurability of functions with quasi - continuous and upper semi - continuous vertical sections
(Springer, 2013)Let f : R2 → R be a function with upper semicontinuous and quasi-continuous vertical sections fx(t) = f(x, t), t, x ∈ R. It is proved that if the horizontal sections fy(t) = f(t, y), y, t ∈ R, are of Baire class α (resp. ...