Isbn: 9780486466644 - cohomology operations and applications in homotopy theory (dover books on mathematics) (23 Ergebnisse)

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Paperback. Zustand: new. Paperback. Cohomology operations are at the center of a major area of activity in algebraic topology. This technique for supplementing and enriching the algebraic structure of the cohomology ring has been instrumental to important progress in general homotopy theory and in specific geometric applications. For both theoretical and practical reasons, the formal properties of families of operations have received extensive analysis.This text focuses on the single most important sort of operations, the Steenrod squares. It constructs these operations, proves their major properties, and provides numerous applications, including several different techniques of homotopy theory useful for computation. In the later chapters, the authors place special emphasis on calculations in the stable range. The text provides an introduction to methods of Serre, Toda, and Adams, and carries out some detailed computations. Prerequisites include a solid background in cohomology theory and some acquaintance with homotopy groups. This treatment explores the single most important variety of cohomology operations, the Steenrod squares. It constructs these operations, proves their major properties, and provides numerous applications. 1968 edition. Shipping may be from multiple locations in the US or from the UK, depending on stock availability.…

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Zustand: New. InhaltsverzeichnisrnrnPrefacen1. Introduction to cohomology operationsn2. Construction of the Steenrod squaresn3. Properties of the squaresn4. Application: the Hopf invariantn5. Application: vector fields on spheresn6. The Steenrod algebran7. Ex.

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Paperback. Zustand: new. Paperback. Cohomology operations are at the center of a major area of activity in algebraic topology. This technique for supplementing and enriching the algebraic structure of the cohomology ring has been instrumental to important progress in general homotopy theory and in specific geometric applications. For both theoretical and practical reasons, the formal properties of families of operations have received extensive analysis.This text focuses on the single most important sort of operations, the Steenrod squares. It constructs these operations, proves their major properties, and provides numerous applications, including several different techniques of homotopy theory useful for computation. In the later chapters, the authors place special emphasis on calculations in the stable range. The text provides an introduction to methods of Serre, Toda, and Adams, and carries out some detailed computations. Prerequisites include a solid background in cohomology theory and some acquaintance with homotopy groups. This treatment explores the single most important variety of cohomology operations, the Steenrod squares. It constructs these operations, proves their major properties, and provides numerous applications. 1968 edition. This item is printed on demand. Shipping may be from our Sydney, NSW warehouse or from our UK or US warehouse, depending on stock availability.…

Paperback. Zustand: new. Paperback. Cohomology operations are at the center of a major area of activity in algebraic topology. This technique for supplementing and enriching the algebraic structure of the cohomology ring has been instrumental to important progress in general homotopy theory and in specific geometric applications. For both theoretical and practical reasons, the formal properties of families of operations have received extensive analysis.This text focuses on the single most important sort of operations, the Steenrod squares. It constructs these operations, proves their major properties, and provides numerous applications, including several different techniques of homotopy theory useful for computation. In the later chapters, the authors place special emphasis on calculations in the stable range. The text provides an introduction to methods of Serre, Toda, and Adams, and carries out some detailed computations. Prerequisites include a solid background in cohomology theory and some acquaintance with homotopy groups. This treatment explores the single most important variety of cohomology operations, the Steenrod squares. It constructs these operations, proves their major properties, and provides numerous applications. 1968 edition. This item is printed on demand. Shipping may be from our UK warehouse or from our Australian or US warehouses, depending on stock availability.…