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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:- 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.
- Sales Rank: #3837677 in eBooks
- Published on: 2012-07-25
- Released on: 2012-07-25
- Format: Kindle eBook
Review
"It is utmost useful to have these (interrelated) classics gathered together in one volume. This facilitates the study of the originals considerably, all the more as numerous editorial hints provide additional guidance. In this regard, the entire edition represents an invaluable source book for both students and researchers in the field." -- Zentralblatt MATH
From the Inside Flap
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."
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