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El. knyga: Topological Library, Part 3, Spectral Sequences in Topology [World Scientific e-book]

Translated by (Sobolev Inst Of Mathematics, Russia), Edited by (Sobolev Inst Of Mathematics, Russia), Edited by (Landau Inst For Theoretical Physics, Russia & Maryland Univ, Usa)
  • Formatas: 592 pages
  • Serija: Series on Knots & Everything 50
  • Išleidimo metai: 17-Sep-2012
  • Leidėjas: World Scientific Publishing Co Pte Ltd
  • ISBN-13: 9789814401319
Kitos knygos pagal šią temą:
  • World Scientific e-book
  • Kaina: 215,29 €*
  • * this price gives unlimited concurrent access for unlimited time
  • Formatas: 592 pages
  • Serija: Series on Knots & Everything 50
  • Išleidimo metai: 17-Sep-2012
  • Leidėjas: World Scientific Publishing Co Pte Ltd
  • ISBN-13: 9789814401319
Kitos knygos pagal šią temą:
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.”
Foreword ix
1 J.-P. Serre. Singular homology of fiber spaces
1(104)
V. P. Golubyatnikov
2 J.-P. Serre. Homotopy groups and classes of abelian groups
105(48)
V. P. Golubyatnikov
3 J.-P. Serre. Cohomology modulo 2 of Eilenberg---MacLane complexes
153(38)
V. P. Golubyatnikov
4 A. Borel. On cohomology of principal fiber bundles and homogeneous spaces of compact Lie groups
191(128)
V. P. Golubyatnikov
5 A. Borel. Cohomology mod 2 of some homogeneous spaces
319(38)
V. P. Golubyatnikov
6 The Steenrod algebra and its dual
357(26)
J. Milnor
7 On the structure and applications of the Steenrod algebra
383(40)
J. F. Adams
8 Vector bundles and homogeneous spaces
423(32)
M. F. Atiyah
F. Hirzebruch
9 The methods of algebraic topology from viewpoint of cobordism theory
455(118)
S. P. Novikov
Index 573