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Topological Library : Part 3: Spectral Sequences in Topology - Serguei Petrovich Novikov

Topological Library

Part 3: Spectral Sequences in Topology

By: Serguei Petrovich Novikov, Iskander A Taymanov, Vladimir Petrovich Golubyatnikov

eText | 25 July 2012

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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.”

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 Atiyah and F Hirzebruch)
  • The Methods of Algebraic Topology from Viewpoint of Cobordism Theory (S P Novikov)

Readership: Researchers in algebraic topology, its applications, and history of topology.
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Non-FictionMathematicsTopologyAlgebraic TopologyHistory of MathematicsGeometryAlgebraic Geometry

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