Description

Book Synopsis
The final volume of the three-volume edition, this book features classical papers on algebraic and differential topology published in the 1950s-1960s. The partition of these papers among the volumes is rather conditional. 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.”

Table of Contents
Singular Homology of Fiber Spaces (J-P Serre); Homotopy Groups and Classes of Abelian Groups (J-P Serre); Cohomology Modulo 2 of Eilenberg - MacLane Complexes (J-P Serre); On Cohomology of Principal Fiber Bundles and Homogeneous Spaces of Compact Lie Groups (A Borel); Cohomology Mod 2 of Some Homogeneous Spaces (A Borel); The Steenrod Algebra and Its Dual (J Milnor); On the Structure and Applications of the Steenrod Algebra (J F Adams); Vector Bundles and Homogeneous Spaces (M F Atyah and F Hirzebruch); The Methods of Algebraic Topology from Viewpoint of Cobordism Theory (S P Novikov).

Topological Library - Part 3: Spectral Sequences

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    A Hardback by Serguei Petrovich Novikov, Iskander A Taymanov, Vladimir Petrovich Golubyatnikov

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      View other formats and editions of Topological Library - Part 3: Spectral Sequences by Serguei Petrovich Novikov

      Publisher: World Scientific Publishing Co Pte Ltd
      Publication Date: Publication Date: 18/09/2012
      ISBN13: 9789814401302, 978-9814401302
      ISBN10: 9814401307

      Description

      Book Synopsis
      The final volume of the three-volume edition, this book features classical papers on algebraic and differential topology published in the 1950s-1960s. The partition of these papers among the volumes is rather conditional. 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.”

      Table of Contents
      Singular Homology of Fiber Spaces (J-P Serre); Homotopy Groups and Classes of Abelian Groups (J-P Serre); Cohomology Modulo 2 of Eilenberg - MacLane Complexes (J-P Serre); On Cohomology of Principal Fiber Bundles and Homogeneous Spaces of Compact Lie Groups (A Borel); Cohomology Mod 2 of Some Homogeneous Spaces (A Borel); The Steenrod Algebra and Its Dual (J Milnor); On the Structure and Applications of the Steenrod Algebra (J F Adams); Vector Bundles and Homogeneous Spaces (M F Atyah and F Hirzebruch); The Methods of Algebraic Topology from Viewpoint of Cobordism Theory (S P Novikov).

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