Brown-Peterson Homology
An Introduction and Sampler
Seiten
1982
American Mathematical Society (Verlag)
978-0-8218-1699-8 (ISBN)
American Mathematical Society (Verlag)
978-0-8218-1699-8 (ISBN)
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Presents discussion of formal groups and an introduction to BP-homology. This book features a section on unstable operations. It is suitable for graduate students and algebraic topologists.
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-MacLane 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.
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-MacLane 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.
Part 1. An introduction Complex bordism Formal groups Brown-Peterson homology; Part II. A sampler Cooperations and stable homotopy Associated homology theories Morava's little structure theorem and the Conner-Floyd 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.
| Erscheint lt. Verlag | 30.12.1982 |
|---|---|
| Reihe/Serie | CBMS Regional Conference Series in Mathematics |
| Verlagsort | Providence |
| Sprache | englisch |
| Gewicht | 184 g |
| Themenwelt | Mathematik / Informatik ► Mathematik |
| ISBN-10 | 0-8218-1699-3 / 0821816993 |
| ISBN-13 | 978-0-8218-1699-8 / 9780821816998 |
| Zustand | Neuware |
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