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  • Author: Jerzy Jezierski x
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Abstract

Let ƒ be a self-map of a smooth compact connected and simply-connected manifold of dimension m ≥ 3, r a fixed natural number. In this paper we define a topological invariant which is the best lower bound for the number of r-periodic points for all C 1 maps homotopic to ƒ. In case m = 3 we give the formula for and calculate it for self-maps of S 2 × I.