Advances in Homotopy Theory: Papers in Honour of I M James, Cortona 1988

doi:10.1017/CBO9780511662614

This volume records the lectures given at a conference to celebrate Professor Ioan James' 60th birthday. Ioan James has made significant contributions to homotopy theory, highlighting problems and initiating new methods. The present volume contains papers from internationally distinguished researcher workers which lead on from recent and exciting breakthroughs. It will be important for all homotopy theorists as both a statement of current research and as a signpost for new directions.

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Contents

Frontmatter
pp i-vi
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Contents
pp vii-viii
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Preface
pp ix-ix
- By Simon Salamon, Brian Steer, Wilson Sutherland
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List of Participants
pp x-xi
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Addresses of Contributors
pp xii-xiv
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Publications of I. M. James
pp 1-4
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Homotopy fixed points in the algebraic K-theory of certain infinite discrete groups
pp 5-10
- By Gunnar Carlsson, Fine Hall, Washington Road
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Applications of loop spaces to some problems in topology
pp 11-20
- By F.R. Cohen, University of Kentucky
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Invariants of fixed-point-free circle actions
pp 21-44
- By M.C. Crabb, The Edward Wright Building
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Bitangent spheres and critical points
pp 45-48
- By Duan Hai-bao, Institute of Systems Science, Elmer Rees, University of Edinburgh
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The enveloping ring of a II-algebra
pp 49-60
- By W.G. Dwyer, University of Notre Dame, D.M. Kan, Massachusetts Institute of Technology
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Cohomologie des groupes symétriques et application de Quillen
pp 61-68
- By J.H. Gunawardena, Trinity College,, J. Lannes, Centre de Mathématiques, S. Zarati, Université de Tunis
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Looping Massey-Peterson towers
pp 69-86
- By J.R. Harper, University of Rochester, H.R. Miller, Massachusetts Institute of Technology
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Characters and elliptic cohomology
pp 87-104
- By Michael J. Hopkins, University of Chicago
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Self maps of H-spaces
pp 105-110
- By J.R. Hubbuck, The Edward Wright Building
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Character rings in algebraic topology
pp 111-126
- By Nicholas J. Kuhn, University of Virginia
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The rank filtration of Quillen's Q-construction
pp 127-142
- By Stephen A. Mitchell, University of Washington
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Obstruction theory and the strict associativity of Morava K-theories
pp 143-152
- By Alan Robinson, University of Warwick
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Loop groups and harmonic maps
pp 153-164
- By Graeme Segal, Mathematical Institute
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An almost groupoid structure for the space of (open) strings and implications for string field theory
pp 165-172
- By Jim Stasheff, Univerity of North Carolina
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Steenrod squares of polynomials
pp 173-177
- By R.M.W. Wood, The University
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Advances in Homotopy Theory

Papers in Honour of I M James, Cortona 1988

Book description

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Contents

Frontmatter
pp i-vi

Contents
pp vii-viii

Preface
pp ix-ix

List of Participants
pp x-xi

Addresses of Contributors
pp xii-xiv

Publications of I. M. James
pp 1-4

Homotopy fixed points in the algebraic K-theory of certain infinite discrete groups
pp 5-10

Applications of loop spaces to some problems in topology
pp 11-20

Invariants of fixed-point-free circle actions
pp 21-44

Bitangent spheres and critical points
pp 45-48

The enveloping ring of a II-algebra
pp 49-60

Cohomologie des groupes symétriques et application de Quillen
pp 61-68

Looping Massey-Peterson towers
pp 69-86

Characters and elliptic cohomology
pp 87-104

Self maps of H-spaces
pp 105-110

Character rings in algebraic topology
pp 111-126

The rank filtration of Quillen's Q-construction
pp 127-142

Obstruction theory and the strict associativity of Morava K-theories
pp 143-152

Loop groups and harmonic maps
pp 153-164

An almost groupoid structure for the space of (open) strings and implications for string field theory
pp 165-172

Steenrod squares of polynomials
pp 173-177

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Advances in Homotopy Theory

Papers in Honour of I M James, Cortona 1988

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