Abstract
We show that for any closed set $E\subset \lbrack 0,1]$, there exists $f:[0,1]\rightarrow \lbrack 0,1]$ in the first class of Baire that generates $E$ as one of its $\omega $-limit sets. Since $\omega $-limit sets are necessarily closed, this characterizes the class of $\omega $-limit sets for Baire or Borel functions on the interval.
Citation
E. S. Coulam. T.H. Steele. "A Characterization of Attractors for Baire Functions on the Interval." Real Anal. Exchange 47 (1) 135 - 146, 2022. https://doi.org/10.14321/realanalexch.47.1.1613920060
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