By John R. Harper
Even if the speculation and purposes of secondary cohomology operations are a big a part of a complicated graduate-level algebraic topology path, there are few books at the topic. The AMS fills that hole with the e-book of the current quantity. The author's major goal during this publication is to enhance the idea of secondary cohomology operations for singular cohomology idea, that is handled when it comes to common structures from common homotopy conception. between many purposes thought of are the Hopf invariant one theorem (for all primes $p$, together with $p = 2$), Browder's theorem on larger Bockstein operations, and cohomology idea of Massey-Peterson fibrations. a variety of examples and workouts aid readers to realize a operating wisdom of the idea. A precis of extra complicated elements of the center fabric is integrated within the first bankruptcy. Prerequisite is uncomplicated algebraic topology, together with the Steenrod operations. The booklet is aimed at graduate scholars and study mathematicians attracted to algebraic topology and will be used for self-study or as a textbook for a sophisticated direction at the subject. it's to be had in either hardcover and softcover variants.
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