Cohomology Operations are at the center of a major area of activity in algebraic topology.
Prerequisites include a solid background in Cohomology Theory and some acquaintance with Homotopy groups..
The text provides an introduction to methods of Serre, Toda, and Adams, and carries out some detailed computations.
In the later chapters, the authors place special emphasis on calculations in the stable range.
It constructs these operations, proves their major properties, and provides numerous applications, including several different techniques of Homotopy Theory useful for computation.
This text focuses on the single most important sort of operations, the Steenrod squares.
For both theoretical and practical reasons, the formal properties of families of Operations have received extensive analysis.
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.
Cohomology Operations are at the center of a major area of activity in algebraic topology
