Topological Library

Part 3: Spectral Sequences in Topology

Nonfiction, Science & Nature, Mathematics, Topology, Geometry
Cover of the book Topological Library by S P Novikov, I A Taimanov, V P Golubyatnikov, World Scientific Publishing Company
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Author: S P Novikov, I A Taimanov, V P Golubyatnikov ISBN: 9789814401326
Publisher: World Scientific Publishing Company Publication: July 25, 2012
Imprint: WSPC Language: English
Author: S P Novikov, I A Taimanov, V P Golubyatnikov
ISBN: 9789814401326
Publisher: World Scientific Publishing Company
Publication: July 25, 2012
Imprint: WSPC
Language: English

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.
Key Features:

  • Serves as a tool in learning classical algebraic topology
  • An essential book for topologists
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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:

Readership: Researchers in algebraic topology, its applications, and history of topology.
Key Features:

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