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

ISBN-13: 9780521379076 / Angielski / Miękka / 1989 / 192 str.

S. Salamon; B. Steer; W. Sutherland

Opis

This is a collection of the recorded lectures given at a conference to celebrate the 60th birthday of Professor Ioan James, who has made significant contributions to homotopy theory, highlighting problems and initiating new methods. The present volume contains papers from internationally distinguished research workers that reflect recent exciting breakthroughs in this field. It will be important for all homotopy theorists as both a statement of current research and as a signpost for new directions. This should prove interesting to research workers in algebraic topology.

Spis treści

Preface; Publications of I. M. James; 1. Homotopy fixed points in the algebraic K-theory of certain infinite discrete groups G. Carlsson; 2. Applications of loop spaces to some problems in topology F. R. Cohen; 3. Invariants spheres and critical points M. C. Crabb; 4. Bitangent spheres and critical points Duan H.-E. Rees; 5. The enveloping ring of a II-algebra W. G. Dwyer and D. M. Kan; 6. Cohomologie des groupes symétriques et application de Quillen J. H. Gunawardena, J. Lannes and S. Zarati; 7. Looping Massey-Peterson towers J. R. Harper and H. R. Miller; 8. Characters and elliptic cohomology M. J. Hopkins; 9. Self maps of H-spaces J. R. Hubbuck; 10. Character rings in algebraic topology N. J. Kuhn; 11. The rank filtration of Quillen's Q-construction S. A. Mitchell; 12. Obstruction theory and the strict associativity of Morava K-theories C. A. Robinson; 13. Loop groups and harmonic maps G. B. Segal; 14. An almost groupoid structure for the space of (open) strings and implications for string field theory J. D. Stasheff; 15. Steenrod squares of polynomials R. M. W. Wood.