Nielsen type numbers for periodic points of fibre preserving maps
Let \(p:E\to B\) be a fibration of compact ANR's, and let \(f:E\to E\) be a fibre preserving map, i.e., a map for which there exists a map \(\bar{f}:B\to B\) with \(pf=\bar{f}p\). In this paper the authors define two new Nielsen type numbers that will provide lower bounds for the minimum numbers of periodic points of period exactly \(n\) of maps \(g\) that are fibrewise homotopic to \(f\), and for the minimum numbers of periodic points of all periods dividing \(n\) of maps \(g\) that are fibrewise homotopic to \(f\). Also, some calculations and examples are given.
scientific article; zbMATH DE number 6946130
scientific article