By Douglas C. Ravenel
Nilpotence and Periodicity in solid Homotopy Theory describes a few significant advances made in algebraic topology in recent times, centering at the nilpotence and periodicity theorems, which have been conjectured by means of the writer in 1977 and proved by way of Devinatz, Hopkins, and Smith in 1985. over the past ten years a couple of major advances were made in homotopy idea, and this booklet fills a true want for an updated textual content on that topic.
Ravenel's first few chapters are written with a normal mathematical viewers in brain. They survey either the guidelines that lead as much as the theorems and their purposes to homotopy concept. The ebook starts off with a few uncomplicated ideas of homotopy idea which are had to kingdom the matter. This contains such notions as homotopy, homotopy equivalence, CW-complex, and suspension. subsequent the equipment of complicated cobordism, Morava K-theory, and formal workforce legislation in attribute p are brought. The latter element of the e-book offers experts with a coherent and rigorous account of the proofs. It contains hitherto unpublished fabric at the ruin product and chromatic convergence theorems and on modular representations of the symmetric group.
Read or Download Nilpotence and Periodicity in Stable Homotopy Theory. (AM-128) PDF
Similar Algebraic Geometry books
The 1st biography of Oscar Zariski - arguably one of many maximum mathematicians of the twentieth century. dependent principally on interviews with Zariski, his kin, and his colleagues, it incorporates a precis of a few of his pioneering paintings in addition to his own historical past which spans approximately eighty years and covers many of the globe.
The invention of recent algorithms for facing polynomial equations, and their implementation on quick, reasonably cheap desktops, has revolutionized algebraic geometry and resulted in interesting new functions within the box. This publication information many makes use of of algebraic geometry and highlights fresh functions of Grobner bases and resultants.
Quantity 2: Schemes and intricate Manifolds, covers generalizations in various instructions of the affine and projective kinds that shape the fabric for the 1st quantity. Discusses the origins of algebraic geometry. Paper. DLC: Geometry - Algebraic.
Additional info for Nilpotence and Periodicity in Stable Homotopy Theory. (AM-128)