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Stable and Unstable Homotopy
 
Edited by: William G. Dwyer University of Notre Dame, Notre Dame, IN
Steven Halperin University of Toronto, Toronto, ON, Canada
Richard Kane University of Western Ontario, London, ON, Canada
Stanley O. Kochman York University, Toronto, ON, Canada
Mark E. Mahowald Northwestern University, Evanston, IL
Paul S. Selick University of Toronto, Scarborough, ON, Canada
A co-publication of the AMS and Fields Institute
Stable and Unstable Homotopy
Hardcover ISBN:  978-0-8218-0824-5
Product Code:  FIC/19
List Price: $114.00
MAA Member Price: $102.60
AMS Member Price: $91.20
eBook ISBN:  978-1-4704-2987-4
Product Code:  FIC/19.E
List Price: $107.00
MAA Member Price: $96.30
AMS Member Price: $85.60
Hardcover ISBN:  978-0-8218-0824-5
eBook: ISBN:  978-1-4704-2987-4
Product Code:  FIC/19.B
List Price: $221.00 $167.50
MAA Member Price: $198.90 $150.75
AMS Member Price: $176.80 $134.00
Stable and Unstable Homotopy
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Stable and Unstable Homotopy
Edited by: William G. Dwyer University of Notre Dame, Notre Dame, IN
Steven Halperin University of Toronto, Toronto, ON, Canada
Richard Kane University of Western Ontario, London, ON, Canada
Stanley O. Kochman York University, Toronto, ON, Canada
Mark E. Mahowald Northwestern University, Evanston, IL
Paul S. Selick University of Toronto, Scarborough, ON, Canada
A co-publication of the AMS and Fields Institute
Hardcover ISBN:  978-0-8218-0824-5
Product Code:  FIC/19
List Price: $114.00
MAA Member Price: $102.60
AMS Member Price: $91.20
eBook ISBN:  978-1-4704-2987-4
Product Code:  FIC/19.E
List Price: $107.00
MAA Member Price: $96.30
AMS Member Price: $85.60
Hardcover ISBN:  978-0-8218-0824-5
eBook ISBN:  978-1-4704-2987-4
Product Code:  FIC/19.B
List Price: $221.00 $167.50
MAA Member Price: $198.90 $150.75
AMS Member Price: $176.80 $134.00
  • Book Details
     
     
    Fields Institute Communications
    Volume: 191998; 316 pp
    MSC: 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 co-published 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
     
     
    • 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 Lusternik-Schnirelmann category of an iterated loop space
    • Frederick Cohen and V Vershinin — Thom spectra which are wedges of Eilenberg-MacLane spectra
    • Octavian Cornea — Some properties of the relative Lusternik-Schnirelmann 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
    • Jean-Michel Lemaire — Inert and lazy $n$-cones
    • James Lin — Mod 3 truncated polynomial algebras over the Steenrod algebra
    • Wen-Hsiung 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
    • Jin-Yen Tai — On $f$-localization functors and connectivity
    • Toshihiro Yamaguchi — On characterizations of rational homotopy types with some rational cyclic cohomologies
  • Requests
     
     
    Review Copy – for publishers of book reviews
    Accessibility – to request an alternate format of an AMS title
Volume: 191998; 316 pp
MSC: 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 co-published 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.

  • 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 Lusternik-Schnirelmann category of an iterated loop space
  • Frederick Cohen and V Vershinin — Thom spectra which are wedges of Eilenberg-MacLane spectra
  • Octavian Cornea — Some properties of the relative Lusternik-Schnirelmann 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
  • Jean-Michel Lemaire — Inert and lazy $n$-cones
  • James Lin — Mod 3 truncated polynomial algebras over the Steenrod algebra
  • Wen-Hsiung 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
  • Jin-Yen Tai — On $f$-localization functors and connectivity
  • Toshihiro Yamaguchi — On characterizations of rational homotopy types with some rational cyclic cohomologies
Review Copy – for publishers of book reviews
Accessibility – to request an alternate format of an AMS title
Please select which format for which you are requesting permissions.