Lectures on Nielsen fixed point theory / Boju Jiang.

Format:

Book

Author/Creator:

Jiang, Boju, author.

Series:

Contemporary mathematics (American Mathematical Society) ; 14.

Contemporary mathematics, 0271-4132 ; 14

Language:

English

Subjects (All):

Fixed point theory.

Covering spaces (Topology).

Physical Description:

1 online resource (122 p.)

Edition:

1st ed.

Other Title:

Nielsen fixed point theory.

Place of Publication:

Providence, Rhode Island : American Mathematical Society, [1983]

Language Note:

English

Contents:

""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""

Notes:

Based on courses given at the University of California, Berkeley, winter 1980, and at the University of California, Los Angeles, winter 1981.

Includes bibliographical references and index.

Description based on print version record.

ISBN:

0-8218-7600-7

0-8218-5014-8