Current Trends in Transformation Groups

Introduction. 1. Hilbert's fifth problem and proper actions of Lie groups; S. Illman. 2. Equivariant algebraic vector bundles over representations - a survey; M. Masuda. 3. G-manifolds and G-vector bundles in algebraic, semialgebraic, and definable categories; T. Kawakami. 4. Geometry of Finite Topological and equivariant finite topological spaces; S. Kono, F. Ushitaki. 5. On the theory of homotopy representations. A survey; I. Nagasaki. 6. Manifolds as fixed point sets of smooth compact Lie group actions; K. Pawalowski. 7. Surgery and homotopy theory in study of the transformation groups; Y. Kitada. 8. Kervaire's obstructions of free actions of finite cyclic groups on homotopy spheres; Y. Kitada. 9. The Burnside ring revisited; M. Morimoto. 10. Multiplicative stabilization and transformation groups; S. Kwasik, R. Schultz. 11. Symmetries on manifolds, deformations and rational homotopy: a survey; M. Raussen. 12. Rigidity of codimension one locally free actions of solvable Lie groups; N. Tsuchiya, A. Yamakawa. 13. Smooth actions of non-compact semi-simple Lie groups; F. Uchida, K. Mukoyama. 14. Hamiltonian group actions and equivariant indices; T. Takakura. 15. Controlled methods in equivariant topology, a survey; E. Pedersen. Index.