Commutator Calculus and Groups of Homotopy Classes by Hans J. Baues (English) Pa

Description: Commutator Calculus and Groups of Homotopy Classes by Hans J. Baues A fundamental problem of algebraic topology is the classification of homotopy types and homotopy classes of maps. In this work the author extends results of rational homotopy theory to a subring of the rationale. FORMAT Paperback LANGUAGE English CONDITION Brand New Publisher Description A fundamental problem of algebraic topology is the classification of homotopy types and homotopy classes of maps. In this work the author extends results of rational homotopy theory to a subring of the rationale. The methods of proof employ classical commutator calculus of nilpotent group and Lie algebra theory and rely on an extensive and systematic study of the algebraic properties of the classical homotopy operations (composition and addition of maps, smash products, Whitehead products and higher order James-Hopi invariants). The account is essentially self-contained and should be accessible to non-specialists and graduate students with some background in algebraic topology and homotopy theory. Table of Contents 1. Commuter calculus; 2. Distributivity laws in homotopy theory; 3. Homotopy operations on spheres; 4. Higher order Hopf invariants on spheres; 5. The homotopy Lie algebra and the spherical cohomotopy algebra; 6. Groups of homotopy classes; 7. The Hilton-Milnor theorum and its dual. Promotional "Headline" In this work the author extends results of rational homotopy theory to a subring of the rationale. Description for Bookstore A fundamental problem of algebraic topology is the classification of homotopy types and homotopy classes of maps. In this work the author extends results of rational homotopy theory to a subring of the rationale. Description for Library A fundamental problem of algebraic topology is the classification of homotopy types and homotopy classes of maps. In this work the author extends results of rational homotopy theory to a subring of the rationale. Details ISBN0521284244 Author Hans J. Baues Short Title COMMUTATOR CALCULUS & GROUPS O Pages 168 Publisher Cambridge University Press Series Cambridge Texts in Chemistry and Biochemistry Language English ISBN-10 0521284244 ISBN-13 9780521284240 Media Book Format Paperback DEWEY 515 Series Number 50 Year 1981 Publication Date 1981-11-30 Imprint Cambridge University Press Place of Publication Cambridge Country of Publication United Kingdom Birth 1943 Illustrations Worked examples or Exercises DOI 10.1604/9780521284240 Audience Professional and Scholarly UK Release Date 1981-11-05 AU Release Date 1981-11-05 NZ Release Date 1981-11-05 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:91389213;

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