The Theory of Fixed Point Classes

《TheTheoryofFixedPointClasses》:Thetheoryoffixedpointclasses(alsoknownasNielsenfixedpointtheory)examinesthefixedpointsofanarbitrarymappingofanyconnectedfinitepolyhedronintoitself．Itsmainproblemistodeterminealowerboundofthegeometriccountings(i.e.theactualnumbers)offixedpointsofallmappingshomotopictothegivenmapping．Theexistenceproblemoffixedpointsisevidentlyaparticularcase．ThepresentbookisanEnglishtranslationoftherevisedsecondChineseedition．Itisafundamentalrepresentationoftheimportanttheory，presentedinamoreelementaryandgeometricwaythantheexistingliterature．Thus，itwillserveasagoodintroductiontoalgebraictopologyandgeometry．