Fields Institute Communications 1998; 316 pp; hardcover Volume: 19 ISBN10: 0821808249 ISBN13: 9780821808245 List Price: US$101 Member Price: US$80.80 Order Code: FIC/19
 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). Readership Graduate students and research mathematicians working in homotopy theory and related areas. Table of Contents  G. Arone and M. Kankaanrinta  A functorial model for iterated Snaith splitting with applications to calculus of functors
 R. R. Bruner  Some remarks on the root invariant
 F. R. Cohen  On the LusternikSchnirelmann category of an iterated loop space
 F. R. Cohen and V. V. Vershinin  Thom spectra which are wedges of EilenbergMacLane spectra
 O. Cornea  Some properties of the relative LusternikSchnirelmann category
 E. S. Devinatz  The generating hypothesis revisited
 B. Gray  The periodic lambda algebra
 J. P. C. Greenlees  Rational \(O(2)\)equivariant cohomology theories
 J. Grodal  The transcendence degree of the mod \(p\) cohomology of finite Postnikov systems
 J. Harper  Cogroups which are not suspensions. II
 M. J. Hopkins, D. C. Ravenel, and W. S. Wilson  Morava Hopf algebras and spaces \(K(n)\) equivalent to finite Postnikov systems
 N. E. Kechagias  The transfer between rings of modular invariants of subgroups of \(GL(n,p)\)
 K. Y. Lam and D. Randall  Projectivity of Im \(J\), cospherical classes and geometric dimension
 J.M. Lemaire  Inert and lazy \(n\)cones
 J. P. Lin  Mod 3 truncated polynomial algebras over the Steenrod algebra
 W.H. Lin  A differential in the Adams spectral sequence for spheres
 C. A. McGibbon  Some problems about phantom maps
 N. Minami  On some \(BP_*BP\)primitive elements related to the Kervaire invariant problemm
 J. M. Møller  Deterministic \(p\)compact groups
 P. Selick  Space exponents for loop spaces of spheres
 J.Y. Tai  On \(f\)localization functors and connectivity
 T. Yamaguchi  On characterizations of rational homotopy types with some rational cyclic cohomologies
