References
SHOWING 1-10 OF 13 REFERENCES
A classification of Baire class 1 functions
- Mathematics
- 1990
We study in this paper various ordinal ranks of (bounded) Baire class 1 functions and we show their essential equivalence. This leads to a natural classification of the class of bounded Baire class 1…
On chain recurrent sets of typical bounded Baire one functions
- MathematicsTopology and its Applications
- 2019
Darboux Baire-.5 functions
- Mathematics
- 1990
Let I = [0, 1], and let D denote the points of continuity of a function f: I A. A Darboux function maps each connected set to a connected set. A function is BaireI (Baire.5 ) if prelmages of open…
Baire* 1, Darboux functions
- Mathematics
- 1976
It is well known that a function f: t0, 11 -* R is Baire 1 if and only if in any closed set C there is a point xo at which the restricted function fJ C is continuous. Functions will be called Baire*…