Advances in homotopy theory : proceedings of a conference in honour of the 60th birthday of I.M. James / edited by S.M. Salamon, B. Steer, W.A. Sutherland.

Format:

Book

Conference/Event

Contributor:

Salamon, Simon, editor.

Steer, B. (Brian), editor.

Sutherland, W. A. (Wilson Alexander), editor.

Conference Name:

Oxford Topology Symposium (5th : 1988 : Cortona, Italy)

Series:

London Mathematical Society lecture note series ; 139.

London Mathematical Society lecture note series ; 139

Language:

English

Subjects (All):

Homotopy theory--Congresses.

Homotopy theory.

Physical Description:

1 online resource (xiii, 177 pages) : digital, PDF file(s).

Place of Publication:

Cambridge : Cambridge University Press, 1989.

Language Note:

English

Summary:

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.

Contents:

Cover; Series Page; Title; Copyright; Dedication; Contents; Preface; List of participants at conference; Addresses of Contributors; Publications of I. M. James; Homotopy fixed points in the algebraic K-theory of certain infinite discrete groups; 1 Introduction; 2 A homotopy-theoretic approach; 3 Concluding Remarks; References; Applications of loop spaces to some problems in topology; Introduction; 1 Mapping class groups and function spaces; 2 On the homotopy theory of mod-2r Moore spaces; References; Invariants of fixed-point-free circle actions; Introduction; 1 Preparation

2 Some computations3 Geometry; 4 The e-invariant; 5 The Euler characteristic; References; Bitangent spheres and critical points; 1 Background; 2 Results; References; The enveloping ring of a II-algebra; 1 Introduction; 2 IT-algebras; 3 The Milnor-Moore map; 4 The enveloping ring of a IT-algebra; 5 E-flat II-algebras and a Milnor-Moore theorem; 6 An Eilenberg-Moore spectral sequence; References; Cohomologie des groupes symetriques et application de Quillen; 1 Introduction; 2 Definition et notations; 3 Quelques proprietes des Nil-fermes; 4 Exemples de A-modules instables Nil-fermes

5 Demonstration du Theoreme 1.26 Le cas p > 2; References; Looping Massey-Peterson towers; Introduction; 1 Some algebra; 2 The cohomology theory of induced fibrations; 3 Massey-Peterson towers; 4 Looping the tower: proof of the main theorem; References; Characters and elliptic cohomology; Introduction; 1 Formal groups; 2 Cohomology theories defined by formal groups; 3 Characters and generalized cohomology theories; 4 The case of elliptic cohomology; 5 Concluding remarks; References; Self maps of H-spaces; 1 Introduction; 2 Atomic H-Spaces; 3 A Wedderburn-Artin Theorem; References

Character rings in algebraic topology1 Introduction; 2 Character rings: definitions and examples; 3 Detecting families and counting orbits; 4 H*(BG) revisited; 5 Characters for complex-oriented theories; 6 Equivariant cohomology theories; 7 Simplicial character rings; References; The rank filtration of Quillen's Q-construction; Introduction; 1 The rank filtration of the Q-construction, and its quotients; 2 The rank filtration for topological K-theory; 3 Remarks on stable splittings of the rank filtration; 4 The case of a finite field; References

Obstruction theory and the strict associativity of Morava K-theoriesIntroduction; 1 The obstruction theory of A 00 ring structures; 2 Strictly associative multiplications on Morava K-theories; References; Loop groups and harmonic maps; Introduction; 1 A factorization theorem for loops; 2 Harmonic maps into Un; 3 Harmonic maps into CPn-1; References; An almost groupoid structure for the space of (open) strings and implications for string field theory; Introduction; 1 The Moore space of paths and various joining operations; 2 Convolution algebras; 3 Tensor calculus on string space; References

Steenrod squares of polynomials

Notes:

Title from publisher's bibliographic system (viewed on 24 Feb 2016).

"Publications of I.M. James" (p. 1-4).

Includes bibliographical references.

ISBN:

1-107-38367-6

0-511-66261-0

1-4619-3824-4

1-107-29903-9

1-107-39011-7

1-107-39853-3

1-107-38728-0

1-107-39490-2

OCLC:

862614470