eBook ISBN:  9780821876220 
Product Code:  CONM/37.E 
List Price:  $125.00 
MAA Member Price:  $112.50 
AMS Member Price:  $100.00 
eBook ISBN:  9780821876220 
Product Code:  CONM/37.E 
List Price:  $125.00 
MAA Member Price:  $112.50 
AMS Member Price:  $100.00 

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 ]