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    Current Trends in Transformation Groups (K-Monographs in Mathematics) (Paperback) Edited by Anthony Bak, Edited by Masaharu Morimoto, Edited by Fumihiro Ushitaki

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    DescriptionThis 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.

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    Current Trends in Transformation Groups
    Authors and contributors
    Edited by Anthony Bak, Edited by Masaharu Morimoto, Edited by Fumihiro Ushitaki
    Physical properties
    Format: Paperback
    Number of pages: 264
    Width: 163 mm
    Height: 241 mm
    Thickness: 18 mm
    Weight: 408 g
    ISBN 13: 9789401064910
    ISBN 10: 9401064911

    BIC E4L: MAT
    Nielsen BookScan Product Class 3: S7.8
    B&T Book Type: NF
    LC subject heading:
    B&T Merchandise Category: TXT
    B&T General Subject: 710
    LC classification: QA
    Ingram Subject Code: MA
    Abridged Dewey: 515
    BIC subject category V2: PBKS
    LC classification: QA432
    LC subject heading:
    Warengruppen-Systematik des deutschen Buchhandels: 16270
    BISAC V2.8: MAT034000, MAT014000, MAT002050
    LC subject heading:
    BISAC V2.8: MED000000
    BIC subject category V2: PBKL, PBG
    DC22: 512.55
    BISAC V2.8: MAT031000
    LC classification: QA387, QA252.3
    DC23: 510
    LC classification: QA1-939, QA307, QA614-614.97
    LC subject heading:
    Thema V1.0: PBK, PBG, PBKS, PBKL
    Edition statement
    Softcover reprint of the original 1st ed. 2002
    Illustrations note
    Imprint name
    Publication date
    31 July 2012
    Publication City/Country
    Table of contents
    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.