CBMS Regional Conference Series in Mathematics 1982; 86 pp; softcover Number: 48 Reprint/Revision History: reprinted 2005 ISBN10: 0821816993 ISBN13: 9780821816998 List Price: US$22 Member Price: US$17.60 All Individuals: US$17.60 Order Code: CBMS/48
 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 BPhomology. He then presents his view of the major developments in the field in the last decade (the calculation of the homology of EilenbergMacLane 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 Reviews "An excellent book ... very useful [to] students and others wanting to learn BPhomology theory."  Franklin P. Peterson, Mathematical Reviews Table of Contents  Part 1. An introduction
 Complex bordism
 Formal groups
 BrownPeterson homology
 Part II. A sampler
 Cooperations and stable homotopy
 Associated homology theories
 Morava's little structure theorem and the ConnerFloyd conjecture
 Hopf rings, the bar spectral sequence, and \(K(n)_*\underline K_*\)
 \(H_*\underline K_*\) and the Steenrod algebra
 Two formal groups and \(BP_*\underline{BP}_*\)
 Chan's proof of no torsion in \(H_*\underline{BP}_*\)
 Part III. Something new
 Unstable operations
 References
