03136nam 2200577 450 991082893400332120180322131159.00-8218-7600-70-8218-5014-8(CKB)3240000000069539(EBL)3112875(SSID)ssj0000712545(PQKBManifestationID)11406703(PQKBTitleCode)TC0000712545(PQKBWorkID)10644796(PQKB)11359488(MiAaPQ)EBC3112875(WaSeSS)Ind00039201(RPAM)3279079(PPN)197103324(EXLCZ)99324000000006953919821029h19831983 uy| 0engur|n|---|||||txtccrLectures on Nielsen fixed point theory /Boju JiangProvidence, Rhode Island :American Mathematical Society,[1983]©19831 online resource (122 p.)Contemporary mathematics,0271-4132 ;14Based 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.""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""Contemporary mathematics (American Mathematical Society) ;14.Fixed point theoryCovering spaces (Topology)Fixed point theory.Covering spaces (Topology)514/.2Jiang Boju57675MiAaPQMiAaPQMiAaPQBOOK9910828934003321Lectures on Nielsen Fixed Point Theory380589UNINA