Electronic ISBN:  9780821876220 
Product Code:  CONM/37.E 
List Price:  $40.00 
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Book DetailsContemporary MathematicsVolume: 37; 1985; 161 ppMSC: Primary 55; Secondary 57;
This book, which is the proceedings of a conference held at Memorial University of Newfoundland, August 1983, contains 18 papers in algebraic topology and homological algebra by collaborators and associates of Peter Hilton. It is dedicated to Hilton on the occasion of his 60th birthday. The various topics covered are homotopy theory, \(H\)spaces, group cohomology, localization, classifying spaces, and EckmannHilton duality.
Students and researchers in algebraic topology will gain an appreciation for Hilton's impact upon mathematics from reading this book. 
Table of Contents

Articles

J. F. Adams  The fundamental representations of $E_8$ [ MR 789787 ]

Israel Berstein  On covering spaces and Lie group actions [ MR 789788 ]

A. K. Bousfield  On the homotopy classification of $K$theoretic spectra and infinite loop spaces [ MR 789789 ]

William Browder  $S^1$actions on open manifolds [ MR 789790 ]

F. R. Cohen  An analogue of “Hopf invariant one” [ MR 789791 ]

W. G. Dwyer and D. M. Kan  Reducing equivariant homotopy theory to the theory of fibrations [ MR 789792 ]

Beno Eckmann  Surface groups and Poincaré duality [ MR 789793 ]

Leonard Evens and Stewart Priddy  The cohomology of the semidihedral group [ MR 789794 ]

Richard Kane  Finite $H$spaces and the $U(M)$ property [ MR 789795 ]

Kee Yuen Lam  On stable Hopf invariant one elements in ${\bf R}{\rm P}^\infty $ [ MR 789796 ]

Charles A. McGibbon and Joseph A. Neisendorfer  Various applications of Haynes Miller’s theorem [ MR 789797 ]

Ib Madsen and JanAlve Svensson  Induction in unstable equivariant homotopy theory and noninvariance of Whitehead torsion [ MR 789798 ]

Mark Mahowald  Lin’s theorem and the $EHP$ sequence [ MR 789799 ]

J. P. May  Stable maps between classifying spaces [ MR 789800 ]

Joseph Roitberg  Residually finite, Hopfian and coHopfian spaces [ MR 789801 ]

Victor Snaith  On the classifying spaces of Galois groups [ MR 789802 ]

James Stasheff  HiltonEckmann duality revisited [ MR 789803 ]

K. Varadarajan  Projective and free approximations [ MR 789804 ]


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This book, which is the proceedings of a conference held at Memorial University of Newfoundland, August 1983, contains 18 papers in algebraic topology and homological algebra by collaborators and associates of Peter Hilton. It is dedicated to Hilton on the occasion of his 60th birthday. The various topics covered are homotopy theory, \(H\)spaces, group cohomology, localization, classifying spaces, and EckmannHilton duality.
Students and researchers in algebraic topology will gain an appreciation for Hilton's impact upon mathematics from reading this book.

Articles

J. F. Adams  The fundamental representations of $E_8$ [ MR 789787 ]

Israel Berstein  On covering spaces and Lie group actions [ MR 789788 ]

A. K. Bousfield  On the homotopy classification of $K$theoretic spectra and infinite loop spaces [ MR 789789 ]

William Browder  $S^1$actions on open manifolds [ MR 789790 ]

F. R. Cohen  An analogue of “Hopf invariant one” [ MR 789791 ]

W. G. Dwyer and D. M. Kan  Reducing equivariant homotopy theory to the theory of fibrations [ MR 789792 ]

Beno Eckmann  Surface groups and Poincaré duality [ MR 789793 ]

Leonard Evens and Stewart Priddy  The cohomology of the semidihedral group [ MR 789794 ]

Richard Kane  Finite $H$spaces and the $U(M)$ property [ MR 789795 ]

Kee Yuen Lam  On stable Hopf invariant one elements in ${\bf R}{\rm P}^\infty $ [ MR 789796 ]

Charles A. McGibbon and Joseph A. Neisendorfer  Various applications of Haynes Miller’s theorem [ MR 789797 ]

Ib Madsen and JanAlve Svensson  Induction in unstable equivariant homotopy theory and noninvariance of Whitehead torsion [ MR 789798 ]

Mark Mahowald  Lin’s theorem and the $EHP$ sequence [ MR 789799 ]

J. P. May  Stable maps between classifying spaces [ MR 789800 ]

Joseph Roitberg  Residually finite, Hopfian and coHopfian spaces [ MR 789801 ]

Victor Snaith  On the classifying spaces of Galois groups [ MR 789802 ]

James Stasheff  HiltonEckmann duality revisited [ MR 789803 ]

K. Varadarajan  Projective and free approximations [ MR 789804 ]