Lectures on Nielsen Fixed Point Theory.

Intro -- Table of Contents -- Introduction -- I. Fixed point classes and the Nielsen number -- 1. Lifting classes and fixed point classes -- 2. The influence of a homotopy -- 3. The fixed point index -- 4. Nielsen number and its homotopy invariance -- 5. The commutativity -- 6. The least number of fixed points -- II. Computation of the Nielsen number -- 1. Coordinates for lifting classes -- 2. A lower bound for the Reidemeister number -- 3. The trace subgroup of cyclic homotopies -- 4. Permutations induced by cyclic homotopies -- 5. Polyhedra with a finite fundamental group -- 6. Converses of the Lefschetz fixed point theorem -- III. The fixed point class functor -- 1. The category of self-maps and the fixed-point-class functor -- 2. Fixed point classes modulo a normal subgroup -- 3. Fixed point classes of the iterates -- 4. The least number of periodic points -- IV. Fixed point classes of a fiber map -- l. Fiber maps -- 2. Fixed point classes in the fiber -- 3. Essential fixed point classes in the total space -- 4. Product formulas for the Nielsen number -- Historical Index -- Bibliography -- Index -- A -- B -- C -- D -- E -- F -- G -- H -- I -- L -- M -- N -- O -- P -- R -- S -- T -- U.

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Electronic reproduction. Ann Arbor, Michigan : ProQuest Ebook Central, 2024. Available via World Wide Web. Access may be limited to ProQuest Ebook Central affiliated libraries.