Topological Library:Part 3: Spectral Sequences in Topology: by S P Novikov,I A Taimanov,V P Golubyatnikov

By S P Novikov,I A Taimanov,V P Golubyatnikov

The ultimate quantity of the three-volume variation, this e-book positive factors classical papers on algebraic and differential topology released within the 1950s–1960s. The partition of those papers one of the volumes is quite conditional. the unique equipment and buildings from those works are adequately documented for the 1st time during this e-book. No present booklet covers the attractive ensemble of tools created in topology ranging from nearly 1950. that's, from Serre's celebrated “singular homologies of fiber spaces.”

Contents:

  • Singular Homology of Fiber areas (J-P Serre)
  • Homotopy teams and periods of Abelian teams (J-P Serre)
  • Cohomology Modulo 2 of Eilenberg–MacLane Complexes (J-P Serre)
  • On Cohomology of primary Fiber Bundles and Homogeneous areas of Compact Lie teams (A Borel)
  • Cohomology Mod 2 of a few Homogeneous areas (A Borel)
  • The Steenrod Algebra and Its twin (J Milnor)
  • On the constitution and functions of the Steenrod Algebra (J F Adams)
  • Vector Bundles and Homogeneous areas (M F Atiyah and F Hirzebruch)
  • The tools of Algebraic Topology from standpoint of Cobordism thought (S P Novikov)

Readership: Researchers in algebraic topology, its functions, and historical past of topology.

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