Spectral sequences in topology

著者

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

書誌事項

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

注記

Includes bibliographical references and index

内容説明・目次

内容説明

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."

目次

• 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).

「Nielsen BookData」 より

詳細情報

• NII書誌ID(NCID): BB09878139
• ISBN:
  • 9789814401302
• 出版国コード: si
• タイトル言語コード: eng
• 本文言語コード: eng
• 出版地: Singapore
• ページ数/冊数: 576 p.
• 大きさ: 24 cm
• 分類:
  • DC23 : 514.2
• 件名:
  • LCSH : Algebraic topology
  • LCSH : Differential topology
• 親書誌ID:
  • BA12612970