The Algebra of Secondary Cohomology Operations by Hans-Joachim Baues (English) H

Description: The Algebra of Secondary Cohomology Operations by Hans-Joachim Baues The algebra of primary cohomology operations computed by the well-known Steenrod algebra is one of the most powerful tools of algebraic topology. This book computes the algebra of secondary cohomology operations which enriches the structure of the Steenrod algebra in a new and unexpected way. FORMAT Hardcover LANGUAGE English CONDITION Brand New Publisher Description The algebra of primary cohomology operations computed by the well-known Steenrod algebra is one of the most powerful tools of algebraic topology. This book computes the algebra of secondary cohomology operations which enriches the structure of the Steenrod algebra in a new and unexpected way. The book solves a long-standing problem on the algebra of secondary cohomology operations by developing a new algebraic theory of such operations. The results have strong impact on the Adams spectral sequence and hence on the computation of homotopy groups of spheres. Table of Contents Secondary Cohomology and Track Calculus.- Primary Cohomology Operations.- Track Theories and Secondary Cohomology Operations.- Calculus of Tracks.- Stable Linearity Tracks.- The Algebra of Secondary Cohomology Operations.- Products and Power Maps in Secondary Cohomology.- The Algebra Structure of Secondary Cohomology.- The Borel Construction and Comparison Maps.- Power Maps and Power Tracks.- Secondary Relations for Power Maps.- KÜnneth Tracks and KÜnneth-Steenrod Operations.- The Algebra of ?-tracks.- Secondary Hopf Algebras.- The Action of ? on Secondary Cohomology.- Interchange and the Left Action.- The Uniqueness of the Secondary Hopf Algebra ?.- Computation of the Secondary Hopf Algebra ?. Long Description The algebra of primary cohomology operations computed by the well-known Steenrod algebra is one of the most powerful tools of algebraic topology. This book computes the algebra of secondary cohomology operations which enriches the structure of the Steenrod algebra in a new and unexpected way. The book solves a long-standing problem on the algebra of secondary cohomology operations by developing a new algebraic theory of such operations. The results have strong impact on the Adams spectral sequence and hence on the computation of homotopy groups of spheres. Feature Solution of a long-standing problem on the algebra of secondary cohomology operation New algebraic theory of secondary cohomology operations Details ISBN3764374489 Author Hans-Joachim Baues Series Progress in Mathematics Language English ISBN-10 3764374489 ISBN-13 9783764374488 Media Book Format Hardcover Series Number 247 Year 2006 Imprint Birkhauser Verlag AG Place of Publication Basel Country of Publication Switzerland DEWEY 514.23 Short Title ALGEBRA OF SECONDARY COHOMOLOG DOI 10.1604/9783764374488;10.1007/3-7643-7449-7 Pages 484 Publisher Birkhauser Verlag AG Edition Description 2006 ed. Edition 2006th Publication Date 2006-03-17 Illustrations XXXII, 484 p. Audience Undergraduate We've got this At The Nile, if you're looking for it, we've got it. With fast shipping, low prices, friendly service and well over a million items - you're bound to find what you want, at a price you'll love! TheNile_Item_ID:135125506;

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