Volume: 48; 1982; 86 pp; Softcover
MSC: Primary 55;
Print ISBN: 978-0-8218-1699-8
Product Code: CBMS/48
List Price: $26.00
Individual Price: $20.80
Electronic ISBN: 978-1-4704-2410-7
Product Code: CBMS/48.E
List Price: $24.00
Individual Price: $19.20
Brown-Peterson Homology: An Introduction and Sampler
Share this pageW. Stephen Wilson
A co-publication of the AMS and CBMS
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.
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Reviews & Endorsements
An excellent book … very useful [to] students and others wanting to learn BP-homology theory.
-- Franklin P. Peterson, Mathematical Reviews
Table of Contents
Table of Contents
Brown-Peterson Homology: An Introduction and Sampler
- Cover Cover11 free
- Title iii4 free
- Copyright iv5 free
- Contents v6 free
- Introduction 18 free
- Part I. An Introduction 310 free
- Part II. A Sampler 2330
- Section 4. Cooperation and stable homotopy 2330
- Section 5. Associated homology theories 3441
- Section 6. Morava's little structure theorem and the Conner-Floyd conjecture 3845
- Section 7. Hopf rings, the bar spectral sequence, and K(n)∗K*∗ 4451
- Section 8. H∗K∗ and the Steenrod algebra 5158
- Section 9. Two formal groups and BP∗BP∗ 5663
- Section 10. Chan's proof of no torsion in H∗BP∗ 5966
- Part III. Something New 6168
- References 8390
- Back Cover Back Cover194