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MR1130026 58F20 (55M20)
Babenko, I. K.; Bogatyĭ, S. A. Behavior of the index of periodic points under iterations of a mapping. (Russian) Izv. Akad. Nauk SSSR Ser. Mat. 55 (1991), no. 1, 3--31; translation in Math. USSR-Izv. 38 (1992), no. 1, 1–26
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