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    TOPOLOGICAL LIBRARY
    Part 2: Characteristic Classes and Smooth Structures on Manifolds

    edited by S P Novikov (Landau Institute for Theoretical Physics, Russia & University of Maryland, USA), I A Taimanov (Sobolev Institute of Mathematics, Russia), & translated by V O Manturov (Sobolev Institute of Mathematics, Russia)

    Table of Contents (96k)
    Preface (62k)
    Chapter 1: On manifolds homeomorphic to the 7-sphere1 (153k)

    This is the second of a three-volume set collecting the original and now-classic works in topology written during the 1950s–1960s. The original methods and constructions from these works are properly documented for the first time in this book. No existing book covers the beautiful ensemble of methods created in topology starting from approximately 1950, that is, from Serre's celebrated “singular homologies of fiber spaces.”

     
    Contents:
    • On Manifolds Homeomorphic to the 7-Sphere (J Milnor)
    • Groups of Homotopy Spheres 1 (M A Kervaire & J Milnor)
    • Homotopically Equivalent Smooth Manifolds (S P Novikov)
    • Rational Pontrjagin Classes. Homeomorphism and Homotopy Type of Closed Manifolds (S P Novikov)
    • On Manifolds with Free Abelian Fundamental Group and Their Applications (Pontrjagin Classes, Smooth Structures, High-Dimensional Knots) (S P Novikov)
    • Stable Homeomorphisms and the Annulus Conjecture (R Kirby)
     
    Readership: Researchers in algebraic topology and history of topology.
     
     
    280pp    Pub. date: Oct 2009  
    ISBN:   978-981-283-686-1
    981-283-686-1
       US$150 / £99

     


    280pp    Pub. date: Oct 2009  
    ISBN:   978-981-283-687-8(ebook)
    981-283-687-X(ebook)
       US$195

     


     

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    Updated on 13 February 2012