| Commutator Calculus and Groups of Homotopy Classes Contributor(s): Baues, Hans Joachim (Author) |
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ISBN: 0521284244 ISBN-13: 9780521284240 Publisher: Cambridge University Press OUR PRICE: $47.49 Product Type: Paperback - Other Formats Published: November 1981 Annotation: In this work the author extends results of rational homotopy theory to a subring of the rationale. |
| Additional Information |
| BISAC Categories: - Mathematics | Topology - General - Mathematics | Calculus - Mathematics | Geometry - General |
| Dewey: 514.24 |
| LCCN: 81010142 |
| Series: Cambridge Texts in Chemistry and Biochemistry |
| Physical Information: 0.39" H x 6" W x 9" (0.56 lbs) 168 pages |
| Descriptions, Reviews, Etc. |
| 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. |