This book provides an overview of some of the most active topics in the theory of transformation groups over the past decades and stresses advances obtained in the last dozen years. The emphasis is on actions of Lie groups on manifolds and CW complexes. Manifolds and actions of Lie groups on them are studied in the linear, semialgebraic, definable, analytic, smooth, and topological categories. Equivalent vector bundles play an important role. The work is divided into fifteen articles and will be of interest to anyone researching or studying transformations groups. The references make it easy to find details and original accounts of the topics surveyed, including tools and theories used in these accounts.IA 37 (1990), 243 253.  Kitada, Y., On the Kervaire ...  Kitada, Y., Relations between smooth Kervaire classes over the mod 2 Steenrod algebra, to appear ...  McCleary, J., Usera#39;s Guide to Spectral Sequences, Math. Lect. Ser. ...  Petrie, T., The Atiyah-Singer invariant, the Wall groups Ln(n, 1), and the functions (te* + l)/(tea#39; - 1), Ann. Math. 92 (1970) ... 12 (1986), no.1, 69 73.  Sullivan, D.
|Title||:||Current Trends in Transformation Groups|
|Author||:||Anthony Bak, Masaharu Morimoto, Fumihiro Ushitaki|
|Publisher||:||Springer Science & Business Media - 2002-07-31|