Equivalences of group actions

ABSTRACTPhD. THESISEQUIVALENCES OF GROUP ACTIONSAli Arslan ÖZKURTDEPARTMENT OF MATHEMATICSINSTITUTE OF NATURAL AND APPLIED SCIENCESUNIVERSITY OF ÇUKUROVASupervisor Assoc. Prof. Dr. Doğan DÖNMEZYear: 2005, Pages: 57Jury : Assoc. Prof. Dr. Doğan DÖNMEZProf. Dr. Yusuf ÜNLÜAssoc. Prof. Dr. Mustafa KORKMAZAssoc. Prof. Dr. Hayrullah AYIKAsst. Prof. Dr Leyla ONATSeveral different equivalences can be defined for actions of Lie groups ontopological spaces. In this study, we investigated some relationships betweendifferent kinds of equivalences. We also investigated certain conditions which implyan equivalence of a different type. Generally we focused on topological anddifferentiable torus actions on manifolds. Especially we studied equivalences oflinear torus group actions on complex projective spaces and spheres.Key Words: Torus group, Weight system, Cobordism, Cohomology, SpectralsequenceII