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Lectures on Nielsen fixed point theory / / Boju Jiang



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Autore: Jiang Boju Visualizza persona
Titolo: Lectures on Nielsen fixed point theory / / Boju Jiang Visualizza cluster
Pubblicazione: Providence, Rhode Island : , : American Mathematical Society, , [1983]
©1983
Descrizione fisica: 1 online resource (122 p.)
Disciplina: 514/.2
Soggetto topico: Fixed point theory
Covering spaces (Topology)
Note generali: Based on courses given at the University of California, Berkeley, winter 1980, and at the University of California, Los Angeles, winter 1981.
Nota di bibliografia: Includes bibliographical references and index.
Nota di contenuto: ""Table of Contents""; ""Introduction""; ""I. Fixed point classes and the Nielsen number""; ""Â1. Lifting classes and fixed point classes""; ""Â2. The influence of a homotopy""; ""Â3. The fixed point index""; ""Â4. Nielsen number and its homotopy invariance""; ""Â5. The commutativity""; ""Â6. The least number of fixed points""; ""II. Computation of the Nielsen number""; ""Â1. Coordinates for lifting classes""; ""Â2. A lower bound for the Reidemeister number""; ""Â3. The trace subgroup of cyclic homotopies""; ""Â4. Permutations induced by cyclic homotopies""
""Â5. Polyhedra with a finite fundamental group""""Â6. Converses of the Lefschetz fixed point theorem""; ""III. The fixed point class functor""; ""Â1. The category of self-maps and the fixed-point-class functor""; ""Â2. Fixed point classes modulo a normal subgroup""; ""Â3. Fixed point classes of the iterates""; ""Â4. The least number of periodic points""; ""IV. Fixed point classes of a fiber map""; ""Âl. Fiber maps""; ""Â2. Fixed point classes in the fiber""; ""Â3. Essential fixed point classes in the total space""; ""Â4. 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""
Titolo autorizzato: Lectures on Nielsen Fixed Point Theory  Visualizza cluster
ISBN: 0-8218-7600-7
0-8218-5014-8
Formato: Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione: Inglese
Record Nr.: 9910828934003321
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Serie: Contemporary mathematics (American Mathematical Society) ; ; 14.