Complex Cobordism and Stable Homotopy Groups of Spheres

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9780821829677: Complex Cobordism and Stable Homotopy Groups of Spheres

Book by Douglas C Ravenel

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Douglas C. Ravenel
Edité par American Mathematical Society (2003)
ISBN 10 : 082182967X ISBN 13 : 9780821829677
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Sequitur Books
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Description du livre American Mathematical Society, 2003. Hardcover. État : New. Brand new. We distribute directly for the publisher. Since the publication of its first edition, this book has served as one of the few available on the classical Adams spectral sequence, and is the best account on the Adams-Novikov spectral sequence. This new edition has been updated in many places, especially the final chapter, which has been completely rewritten with an eye toward future research in the field. It remains the definitive reference on the stable homotopy groups of spheres.The first three chapters introduce the homotopy groups of spheres and take the reader from the classical results in the field though the computational aspects of the classical Adams spectral sequence and its modifications, which are the main tools topologists have to investigate the homotopy groups of spheres. Nowadays, the most efficient tools are the Brown-Peterson theory, the Adams-Novikov spectral sequence, and the chromatic spectral sequence, a device for analyzing the global structure of the stable homotopy groups of spheres and relating them to the cohomology of the Morava stabilizer groups. These topics are described in detail in Chapters 4 to 6. The revamped Chapter 7 is the computational payoff of the book, yielding a lot of information about the stable homotopy group of spheres. Appendices follow, giving self-contained accounts of the theory of formal group laws and the homological algebra associated with Hopf algebras and Hopf algebroids.The book is intended for anyone wishing to study computational stable homotopy theory. It is accessible to graduate students with a knowledge of algebraic topology and recommended to anyone wishing to venture into the frontiers of the subject. N° de réf. du libraire 1003300011

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Douglas C. Ravenel
ISBN 10 : 082182967X ISBN 13 : 9780821829677
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Description du livre État : New. Depending on your location, this item may ship from the US or UK. N° de réf. du libraire 97808218296770000000

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Douglas C. Ravenel
Edité par American Mathematical Society, United States (2003)
ISBN 10 : 082182967X ISBN 13 : 9780821829677
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Description du livre American Mathematical Society, United States, 2003. Hardback. État : New. New edition. 259 x 183 mm. Language: English . Brand New Book. Since the publication of its first edition, this book has served as one of the few available on the classical Adams spectral sequence, and is the best account on the Adams-Novikov spectral sequence. This new edition has been updated in many places, especially the final chapter, which has been completely rewritten with an eye toward future research in the field. It remains the definitive reference on the stable homotopy groups of spheres. The first three chapters introduce the homotopy groups of spheres and take the reader from the classical results in the field though the computational aspects of the classical Adams spectral sequence and its modifications, which are the main tools topologists have to investigate the homotopy groups of spheres.Nowadays, the most efficient tools are the Brown-Peterson theory, the Adams-Novikov spectral sequence, and the chromatic spectral sequence, a device for analyzing the global structure of the stable homotopy groups of spheres and relating them to the cohomology of the Morava stabilizer groups. These topics are described in detail in Chapters 4 to 6. The revamped Chapter 7 is the computational payoff of the book, yielding a lot of information about the stable homotopy group of spheres. Appendices follow, giving self-contained accounts of the theory of formal group laws and the homological algebra associated with Hopf algebras and Hopf algebroids. The book is intended for anyone wishing to study computational stable homotopy theory. It is accessible to graduate students with a knowledge of algebraic topology and recommended to anyone wishing to venture into the frontiers of the subject. N° de réf. du libraire AAN9780821829677

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Douglas C. Ravenel
Edité par American Mathematical Society, United States (2003)
ISBN 10 : 082182967X ISBN 13 : 9780821829677
Neuf(s) Couverture rigide Quantité : 1
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The Book Depository US
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Description du livre American Mathematical Society, United States, 2003. Hardback. État : New. New edition. 259 x 183 mm. Language: English . Brand New Book. Since the publication of its first edition, this book has served as one of the few available on the classical Adams spectral sequence, and is the best account on the Adams-Novikov spectral sequence. This new edition has been updated in many places, especially the final chapter, which has been completely rewritten with an eye toward future research in the field. It remains the definitive reference on the stable homotopy groups of spheres. The first three chapters introduce the homotopy groups of spheres and take the reader from the classical results in the field though the computational aspects of the classical Adams spectral sequence and its modifications, which are the main tools topologists have to investigate the homotopy groups of spheres.Nowadays, the most efficient tools are the Brown-Peterson theory, the Adams-Novikov spectral sequence, and the chromatic spectral sequence, a device for analyzing the global structure of the stable homotopy groups of spheres and relating them to the cohomology of the Morava stabilizer groups. These topics are described in detail in Chapters 4 to 6. The revamped Chapter 7 is the computational payoff of the book, yielding a lot of information about the stable homotopy group of spheres. Appendices follow, giving self-contained accounts of the theory of formal group laws and the homological algebra associated with Hopf algebras and Hopf algebroids. The book is intended for anyone wishing to study computational stable homotopy theory. It is accessible to graduate students with a knowledge of algebraic topology and recommended to anyone wishing to venture into the frontiers of the subject. N° de réf. du libraire AAN9780821829677

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Douglas C. Ravenel
Edité par American Mathematical Society
ISBN 10 : 082182967X ISBN 13 : 9780821829677
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Description du livre American Mathematical Society. Hardback. État : new. BRAND NEW, Complex Cobordism and Stable Homotopy Groups of Spheres (New edition), Douglas C. Ravenel, Since the publication of its first edition, this book has served as one of the few available on the classical Adams spectral sequence, and is the best account on the Adams-Novikov spectral sequence. This new edition has been updated in many places, especially the final chapter, which has been completely rewritten with an eye toward future research in the field. It remains the definitive reference on the stable homotopy groups of spheres. The first three chapters introduce the homotopy groups of spheres and take the reader from the classical results in the field though the computational aspects of the classical Adams spectral sequence and its modifications, which are the main tools topologists have to investigate the homotopy groups of spheres.Nowadays, the most efficient tools are the Brown-Peterson theory, the Adams-Novikov spectral sequence, and the chromatic spectral sequence, a device for analyzing the global structure of the stable homotopy groups of spheres and relating them to the cohomology of the Morava stabilizer groups. These topics are described in detail in Chapters 4 to 6. The revamped Chapter 7 is the computational payoff of the book, yielding a lot of information about the stable homotopy group of spheres. Appendices follow, giving self-contained accounts of the theory of formal group laws and the homological algebra associated with Hopf algebras and Hopf algebroids. The book is intended for anyone wishing to study computational stable homotopy theory. It is accessible to graduate students with a knowledge of algebraic topology and recommended to anyone wishing to venture into the frontiers of the subject. N° de réf. du libraire B9780821829677

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Douglas C. Ravenel
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ISBN 10 : 082182967X ISBN 13 : 9780821829677
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Description du livre American Mathematical Society, 2003. Hardcover. État : New. book. N° de réf. du libraire 082182967X

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Ravenel, Douglas C.
Edité par Amer Mathematical Society (2003)
ISBN 10 : 082182967X ISBN 13 : 9780821829677
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Description du livre Amer Mathematical Society, 2003. Hardcover. État : Brand New. 2nd edition. 395 pages. 10.25x7.25x1.00 inches. In Stock. N° de réf. du libraire __082182967X

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Douglas C. Ravenel
Edité par American Mathematical Society (2003)
ISBN 10 : 082182967X ISBN 13 : 9780821829677
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Description du livre American Mathematical Society, 2003. Hardcover. État : New. N° de réf. du libraire P11082182967X

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Douglas C. Ravenel
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Description du livre État : Brand New. Book Condition: Brand New. N° de réf. du libraire 97808218296771.0

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Douglas C. Ravenel
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Description du livre 2003. Hardcover. État : New. New edition. 188mm x 262mm x. Hardcover. Introduces the homotopy groups of spheres and takes the reader from the classical results in the field though the computational aspects of the classical Adams spectral sequen.Shipping may be from our Sydney, NSW warehouse or from our UK or US warehouse, depending on stock availability. 395 pages. 0.916. N° de réf. du libraire 9780821829677

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