**Fields Institute Communications**

Volume: 19;
1998;
316 pp;
Hardcover

MSC: Primary 55;

Print ISBN: 978-0-8218-0824-5

Product Code: FIC/19

List Price: $101.00

Individual Member Price: $80.80

**Electronic ISBN: 978-1-4704-2987-4
Product Code: FIC/19.E**

List Price: $101.00

Individual Member Price: $80.80

# Stable and Unstable Homotopy

Share this page *Edited by *
*William G. Dwyer; Steven Halperin; Richard Kane; Stanley O. Kochman; Mark E. Mahowald; Paul S. Selick*

A co-publication of the AMS and Fields Institute

This volume presents the proceedings of workshops on
stable homotopy theory and on unstable homotopy theory held at The
Fields Institute as part of the homotopy program during the year
1996. The papers in the volume describe current research in the
subject, and all included works were refereed. Rather than being a
summary of work to be published elsewhere, each paper is the unique
source for the new material it contains.

The book contains current research from international experts in
the subject area, and presents open problems with directions for future
research.

Titles in this series are co-published with the Fields Institute for Research in Mathematical Sciences (Toronto, Ontario, Canada).

#### Table of Contents

# Table of Contents

## Stable and Unstable Homotopy

- Cover Cover11
- Title page iii4
- Contents v6
- Preface vii8
- A functorial model for iterated Snaith splitting with applications to calculus of functors 110
- Some remarks on the root invariant 3140
- On the Lusternik-Schnirelmann category of an iterated loop space 3948
- Thom spectra which are wedges of Eilenberg-MacLane spectra 4352
- Some properties of the relative Lusternik-Schnirelmann category 6776
- The generating hypothesis revisited 7382
- The periodic lambda algebra 93102
- Rational π(2)-equivariant cohomology theories 103112
- The transcendence degree of the mod π cohomology of finite Postnikov systems 111120
- Cogroups which are not suspensions. II 131140
- Morava Hopf algebras and spaces πΎ(π) equivalent to finite Postnikov systems 137146
- The transfer between rings of modular invariants of subgroups of πΊπΏ(π,π) 165174
- Projectivity of Im π½, cospherical classes and geometric dimension 181190
- Inert and lazy π-cones 187196
- Mod 3 truncated polynomial algebras over the Steenrod algebra 195204
- A differential in the Adams spectral sequence for spheres 205214
- Some problems about phantom maps 241250
- On some π΅π_{*}π΅π-primitive elements related to the Kervaire invariant problemm 251260
- Deterministic π-compact groups 255264
- Space exponents for loop spaces of spheres 279288
- On π-localization functors and connectivity 285294
- On characterizations of rational homotopy types with some rational cyclic cohomologies 299308
- Appendix: List of participants 313322
- Back Cover Back Cover1326

#### Readership

Graduate students and research mathematicians working in homotopy theory and related areas.