Topological Topics: Articles on Algebra and Topology Presented to Professor P J Hilton in Celebration of his Sixtieth Birthday

doi:10.1017/CBO9780511600760

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.

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Contents

Frontmatter
pp i-vi
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Contents
pp vii-viii
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Publications of P.J. Hilton
pp 1-14
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Essay on Hilton's work in topology
pp 15-30
- By Guido Mislin, ETH Zürich
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The work of Peter Hilton in algebra
pp 31-45
- By Urs Stammbach, ETH Zürich
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The dual Whitehead theorems
pp 46-54
- By J.P. May, The University of Chicago
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Homotopy cocomplete classes of spaces and the realization of the singular complex
pp 55-69
- By D. Puppe, Mathematisches Institut der Universität Heidelberg D-69OO Heidelberg Federal Republic of Germany
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Betti numbers of Hilbert modular varieties
pp 70-87
- By E. Thomas, Department of Mathematics, University of California, Berkeley, CA 94720, A.T. Vasquez, Graduate School, CUNY, 33 West 42nd Street, New York, NY 10036
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Homotopy pairs in Eckmann-Hilton duality
pp 88-102
- By K.A. Hardie
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Profinite Chern classes for group representations
pp 103-119
- By Beno Eckmann, Guido Mislin, Eidgenössische Technische Hochschule Zürich
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Automorphisms of surfaces and class numbers: an illustration of the G-index theorem
pp 120-127
- By John Ewing, Indiana University, Bloomington, Indiana 47405, USA
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The real dimension of a vector bundle at the prime two
pp 128-135
- By Edgar H. Brown, Jr., Franklin P. Peterson
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Maps between classifying spaces, III
pp 136-153
- By J.F. Adams, Z. Mahmud
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Idempotent codensity monads and the profinite completion of topological groups
pp 154-163
- By A. Deleanu, Syracuse University, Syracuse, New York, U.S.A.
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Finitary automorphisms and integral homology
pp 164-168
- By J. Roitberg, Hunter College, CUNY, New York, N. Y., U.S.A.
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Finite group actions on Grassman manifolds
pp 169-184
- By Henry H. Glover, Ohio State University, Guido Mislin, ETH Zürich
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Topological Topics

Articles on Algebra and Topology Presented to Professor P J Hilton in Celebration of his Sixtieth Birthday

Book description

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Contents

Frontmatter
pp i-vi

Contents
pp vii-viii

Publications of P.J. Hilton
pp 1-14

Essay on Hilton's work in topology
pp 15-30

The work of Peter Hilton in algebra
pp 31-45

The dual Whitehead theorems
pp 46-54

Homotopy cocomplete classes of spaces and the realization of the singular complex
pp 55-69

Betti numbers of Hilbert modular varieties
pp 70-87

Homotopy pairs in Eckmann-Hilton duality
pp 88-102

Profinite Chern classes for group representations
pp 103-119

Automorphisms of surfaces and class numbers: an illustration of the G-index theorem
pp 120-127

The real dimension of a vector bundle at the prime two
pp 128-135

Maps between classifying spaces, III
pp 136-153

Idempotent codensity monads and the profinite completion of topological groups
pp 154-163

Finitary automorphisms and integral homology
pp 164-168

Finite group actions on Grassman manifolds
pp 169-184

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Topological Topics

Articles on Algebra and Topology Presented to Professor P J Hilton in Celebration of his Sixtieth Birthday

Book description

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Contents

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Accessibility standard: Unknown

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