Chain recurrent sets of generic mappings on compact spaces

Paweł Krupski, Krzysztof Omiljanowski, Konrad Ungeheuer

Let 0-CR denote the class of all metric compacta X such that the set of maps $f:X\to X$ with 0-dimensional sets CR(f) of chain recurrent points is a dense $G_{\delta }$-subset of the mappi…