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Book DetailsFields Institute CommunicationsVolume: 19; 1998; 316 ppMSC: Primary 55
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 copublished with the Fields Institute for Research in Mathematical Sciences (Toronto, Ontario, Canada).
ReadershipGraduate students and research mathematicians working in homotopy theory and related areas.

Table of Contents

Chapters

Gregory Arone and Marja Kankaanrinta — A functorial model for iterated Snaith splitting with applications to calculus of functors

Robert Bruner — Some remarks on the root invariant

Frederick Cohen — On the LusternikSchnirelmann category of an iterated loop space

Frederick Cohen and V Vershinin — Thom spectra which are wedges of EilenbergMacLane spectra

Octavian Cornea — Some properties of the relative LusternikSchnirelmann category

Ethan Devinatz — The generating hypothesis revisited

Brayton Gray — The periodic lambda algebra

John Greenlees — Rational $O(2)$equivariant cohomology theories

Jesper Grodal — The transcendence degree of the mod $p$ cohomology of finite Postnikov systems

John Harper — Cogroups which are not suspensions. II

Michael Hopkins, Douglas Ravenel and W Wilson — Morava Hopf algebras and spaces $K(n)$ equivalent to finite Postnikov systems

Nondas Kechagias — The transfer between rings of modular invariants of subgroups of $GL(n,p)$

Kee Lam and Duane Randall — Projectivity of Im $J$, cospherical classes and geometric dimension

JeanMichel Lemaire — Inert and lazy $n$cones

James Lin — Mod 3 truncated polynomial algebras over the Steenrod algebra

WenHsiung Lin — A differential in the Adams spectral sequence for spheres

Charles McGibbon — Some problems about phantom maps

Norihiko Minami — On some $BP_*BP$primitive elements related to the Kervaire invariant problemm

Jesper Møller — Deterministic $p$compact groups

Paul Selick — Space exponents for loop spaces of spheres

JinYen Tai — On $f$localization functors and connectivity

Toshihiro Yamaguchi — On characterizations of rational homotopy types with some rational cyclic cohomologies


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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 copublished with the Fields Institute for Research in Mathematical Sciences (Toronto, Ontario, Canada).
Graduate students and research mathematicians working in homotopy theory and related areas.

Chapters

Gregory Arone and Marja Kankaanrinta — A functorial model for iterated Snaith splitting with applications to calculus of functors

Robert Bruner — Some remarks on the root invariant

Frederick Cohen — On the LusternikSchnirelmann category of an iterated loop space

Frederick Cohen and V Vershinin — Thom spectra which are wedges of EilenbergMacLane spectra

Octavian Cornea — Some properties of the relative LusternikSchnirelmann category

Ethan Devinatz — The generating hypothesis revisited

Brayton Gray — The periodic lambda algebra

John Greenlees — Rational $O(2)$equivariant cohomology theories

Jesper Grodal — The transcendence degree of the mod $p$ cohomology of finite Postnikov systems

John Harper — Cogroups which are not suspensions. II

Michael Hopkins, Douglas Ravenel and W Wilson — Morava Hopf algebras and spaces $K(n)$ equivalent to finite Postnikov systems

Nondas Kechagias — The transfer between rings of modular invariants of subgroups of $GL(n,p)$

Kee Lam and Duane Randall — Projectivity of Im $J$, cospherical classes and geometric dimension

JeanMichel Lemaire — Inert and lazy $n$cones

James Lin — Mod 3 truncated polynomial algebras over the Steenrod algebra

WenHsiung Lin — A differential in the Adams spectral sequence for spheres

Charles McGibbon — Some problems about phantom maps

Norihiko Minami — On some $BP_*BP$primitive elements related to the Kervaire invariant problemm

Jesper Møller — Deterministic $p$compact groups

Paul Selick — Space exponents for loop spaces of spheres

JinYen Tai — On $f$localization functors and connectivity

Toshihiro Yamaguchi — On characterizations of rational homotopy types with some rational cyclic cohomologies