| Softcover ISBN: | 978-0-8218-1699-8 |
| Product Code: | CBMS/48 |
| List Price: | $28.00 |
| Individual Price: | $22.40 |
| eBook ISBN: | 978-1-4704-2410-7 |
| Product Code: | CBMS/48.E |
| List Price: | $26.00 |
| Individual Price: | $20.80 |
| Softcover ISBN: | 978-0-8218-1699-8 |
| eBook: ISBN: | 978-1-4704-2410-7 |
| Product Code: | CBMS/48.B |
| List Price: | $54.00$41.00 |
| Softcover ISBN: | 978-0-8218-1699-8 |
| Product Code: | CBMS/48 |
| List Price: | $28.00 |
| Individual Price: | $22.40 |
| eBook ISBN: | 978-1-4704-2410-7 |
| Product Code: | CBMS/48.E |
| List Price: | $26.00 |
| Individual Price: | $20.80 |
| Softcover ISBN: | 978-0-8218-1699-8 |
| eBook ISBN: | 978-1-4704-2410-7 |
| Product Code: | CBMS/48.B |
| List Price: | $54.00$41.00 |
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Book DetailsCBMS Regional Conference Series in MathematicsVolume: 48; 1982; 86 ppMSC: Primary 55;
This book is primarily directed to graduate students interested in the field and to algebraic topologists who wish to learn something about BP. Beginning with the geometric background of complex bordism, the author goes on to a discussion of formal groups and an introduction to BP-homology. He then presents his view of the major developments in the field in the last decade (the calculation of the homology of Eilenberg-Mac Lane spaces in this section may be useful in teaching advanced algebraic topology courses). The book concludes with a section on unstable operations with comments on where applications may come from in the future.
Readership -
Table of Contents
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Chapters
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Introduction
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Section 1. Complex bordism
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Section 2. Formal groups
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Section 3. Brown-Peterson homology
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Section 4. Cooperation and stable homotopy
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Section 5. Associated homology theories
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Section 6. Morava’s little structure theorem and the Conner-Floyd conjecture
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Section 7. Hopf rings, the bar spectral sequence, and $K(n)_*\underline {K}_*$
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Section 8. $H_*\underline {K}_*$ and the Steenrod algebra
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Section 9. Two formal groups and $BP_*\underline {BP}_*$
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Section 10. Chan’s proof of no torsion in $H_*\underline {BP}_*$
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Section 11. Unstable operations
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Reviews
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An excellent book … very useful [to] students and others wanting to learn BP-homology theory.
Franklin P. Peterson, Mathematical Reviews
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RequestsReview Copy – for publishers of book reviewsAccessibility – to request an alternate format of an AMS title
- Book Details
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This book is primarily directed to graduate students interested in the field and to algebraic topologists who wish to learn something about BP. Beginning with the geometric background of complex bordism, the author goes on to a discussion of formal groups and an introduction to BP-homology. He then presents his view of the major developments in the field in the last decade (the calculation of the homology of Eilenberg-Mac Lane spaces in this section may be useful in teaching advanced algebraic topology courses). The book concludes with a section on unstable operations with comments on where applications may come from in the future.
-
Chapters
-
Introduction
-
Section 1. Complex bordism
-
Section 2. Formal groups
-
Section 3. Brown-Peterson homology
-
Section 4. Cooperation and stable homotopy
-
Section 5. Associated homology theories
-
Section 6. Morava’s little structure theorem and the Conner-Floyd conjecture
-
Section 7. Hopf rings, the bar spectral sequence, and $K(n)_*\underline {K}_*$
-
Section 8. $H_*\underline {K}_*$ and the Steenrod algebra
-
Section 9. Two formal groups and $BP_*\underline {BP}_*$
-
Section 10. Chan’s proof of no torsion in $H_*\underline {BP}_*$
-
Section 11. Unstable operations
-
An excellent book … very useful [to] students and others wanting to learn BP-homology theory.
Franklin P. Peterson, Mathematical Reviews
