Spectral sequences in topology

Author(s)

• Novikov, Sergeĭ Petrovich
• Taĭmanov, I. A. (Iskander Asanovich)

Bibliographic Information

Spectral sequences in topology

editors, S.P. Novikov, I.A. Taimanov ; translated by V.P. Golubyatnikov

（Series on knots and everything, v. 50 . Topological library ; pt. 3）

World Scientific, c2012

Note

Includes bibliographical references and index

Description and Table of Contents

Description

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).

by "Nielsen BookData"

Details

• NCID: BB09878139
• ISBN:
  • 9789814401302
• Country Code: si
• Title Language Code: eng
• Text Language Code: eng
• Place of Publication: Singapore
• Pages/Volumes: 576 p.
• Size: 24 cm
• Classification:
  • DC23 : 514.2
• Subject Headings:
  • LCSH : Algebraic topology
  • LCSH : Differential topology
• Parent Bibliography ID:
  • BA12612970