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Professor Peter Hilton is one of the best known mathematicians of his generation. He has published almost 300 books and papers on various aspects of topology and algebra. The present volume is to celebrate the occasion of his sixtieth birthday. It begins with a bibliography of his work, followed by reviews of his contributions to topology and algebra. These are followed by eleven research papers concerned with various topics of current interest in algebra and topology. The articles are contributed by some of the many mathematicians with whom he has worked at one time or another. This book will be of interest to both topologists and algebraists, particularly those concerned with homotopy theory.
Table of contents:
1. Publications of P. J. Hilton; 2. Essay on Hilton's work in topology Guido Mislin; 3. The work of Peter Hilton in algebra Urs Stammbach; 4. The dual Whitehead theorems J. P. May; 5. Homotopy cocomplete classes of spaces and the realization of the singular complex D. Puppe; 6. Betti numbers of Hilbert modular varieties E. Thomas and A. T. Vasquez; 7. Homotopy pairs in Eckmann-Hilton duality K. A. Hardie; 8. Profinite Chern classes for group representations Beno Eckmann and Guido Mislin; 9. Automorphisms of surfaces and class numbers: an illustration of the G-index theorem John Ewing; 10. The real dimension of a vector bundle at the prime two Edgar H. Brown, Jr. and Franklin P. Peterson; 11. Maps between classifying spaces, III J. F. Adams and Z. Mahmud; 12. Idempotent codensity monads and the profinite completion of topological groups A. Deleanu; 13. Finitary automorphisms and integral homology J. Roitberg; 14. Finite group actions on Grassman manifolds Henry H. Glover and Guido Mislin.
Table of contents:
1. Publications of P. J. Hilton; 2. Essay on Hilton's work in topology Guido Mislin; 3. The work of Peter Hilton in algebra Urs Stammbach; 4. The dual Whitehead theorems J. P. May; 5. Homotopy cocomplete classes of spaces and the realization of the singular complex D. Puppe; 6. Betti numbers of Hilbert modular varieties E. Thomas and A. T. Vasquez; 7. Homotopy pairs in Eckmann-Hilton duality K. A. Hardie; 8. Profinite Chern classes for group representations Beno Eckmann and Guido Mislin; 9. Automorphisms of surfaces and class numbers: an illustration of the G-index theorem John Ewing; 10. The real dimension of a vector bundle at the prime two Edgar H. Brown, Jr. and Franklin P. Peterson; 11. Maps between classifying spaces, III J. F. Adams and Z. Mahmud; 12. Idempotent codensity monads and the profinite completion of topological groups A. Deleanu; 13. Finitary automorphisms and integral homology J. Roitberg; 14. Finite group actions on Grassman manifolds Henry H. Glover and Guido Mislin.