This volume presents a cross-section of new developments in algebraic topology. The main portion consists of survey articles suitable for advanced graduate students and professionals pursuing research in this area. A great variety of topics are covered, many of which are of interest to researchers working in other areas of mathematics. In addition, some of the articles cover topics in group theory and homological algebra.

Titles in this series are co-published with the Centre de Recherches Mathématiques.

Readership

Graduate students and research mathematicians, particularly topologists.

Table of Contents

• C. Casacuberta -- Recent advances in unstable localization
• B. Eckmann -- Hurwitz-Radon matrices revisited: From effective solution of the Hurwitz matrix equations to Bott periodicity
• R. Geoghegan and A. J. Nicas -- The first order Euler characteristic
• I. M. James -- On fibrewise homotopy theory
• C. A. McGibbon -- The Mislin genus of a space
• G. Mislin -- Mapping class groups, characteristic classes, and Bernoulli numbers
• V. W. Giambalvo, N. H. V. Hung, and F. P. Peterson -- \(H^\ast (\mathrm{RP}^\infty \times\cdots\times\mathrm{RP}^\infty)\) as a module over the Steenrod algebra
• J. Roitberg -- Computing homotopy classes of phantom maps
• D. Sjerve and M. B. Cherkassoff -- On groups generated by three involutions, two of which commute
• U. Stammbach -- Types of projective resolutions for finite groups