# nLab Bordism, Stable Homotopy and Adams Spectral Sequences

Contents

### Context

#### Stable Homotopy theory

stable homotopy theory

Introduction

# Contents

## Theorems

cohomology

### Theorems

This page collects material related to the book

• Bordism, Stable Homotopy and Adams Spectral Sequences

Fields Institute Monographs

American Mathematical Society, 1996

cds:2264210

From p. 13:

The approach to stable homotopy presented in this book originated with graduate courses taken by the author at the University of Chicago from 1966 to 1970 given by Frank Adams, Arunas Liulevicius and Peter May. The content of the lectures by Adams have been published in $[$Adams: Stable homotopy and generalised homology (1974)$]$. However, the content of the courses given by Liulevicius on bordism and by May on characteristic classes and on the Adams spectral sequence have not been published. Most of the material in the first four chapters has been given by the author as graduate courses at Yale University, Purdue University and the University of Western Ontario.

# Contents

## Errata

• p. 36, second line: on the right replace $p$ by $p-1$, i.e. replace $\pi_p \colon G^n \to D^{p,n-p}$ by $\pi_{p-1} \colon G^n \to D^{p-1,n-p+1}$ (see end of the proof on the same page)

• p. 41, second diagram: the top horizontal moprhism is missing a superscript star.

• p. 192, second displayed formula from below: The expression for $Cotor$ on the left has a superfluous argument $A$.

• p. 199, the spectral sequence in prop. 5.3.1 converges not to the cobar complex, but to the cohomology of that complex, namely to $Cotor_{\mathcal{A}^\ast}(\mathbb{Z}/2, \mathbb{Z}/2)$ (as shown correctly in the paragraph just before);

• p. 199, very last line: $E_0$ must be $E^0$ (not the 0-page of the spectral sequence, but the associated graded module, as defined on p. 198)

category: reference

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