Contemporary Mathematics 1993; 481 pp; softcover Volume: 146 ISBN10: 0821851624 ISBN13: 9780821851623 List Price: US$87 Member Price: US$69.60 Order Code: CONM/146
 This book consists of twentynine articles contributed by participants of an International Conference in Algebraic Topology held in July 1991 in Oaxtepec, Mexico. In addition to papers on current research, there are several surveys and expositions on the work of Mark Mahowald, whose sixtieth birthday was celebrated during the conference. The conference was truly international, with over 130 mathematicians from fifteen countries. It ended with a spectacular total eclipse of the sun, a photograph of which appears as the frontispiece. The papers range over much of algebraic topology and cross over into related areas, such as \(K\)theory, representation theory, and Lie groups. Also included is a chart of the Adams spectral sequence and a bibliography of Mahowald's publications. Readership Mathematicians interested in algebraic topology and related fields of research. Table of Contents  H. R. Miller and D. C. Ravenel  Mark Mahowald's work on the homotopy groups of spheres
 D. M. Davis  Immersions of projective spaces: A historical survey
 D. Blanc  Abelian \(\Pi\)algebras and their projective dimension
 J. M. Boardman  Modular representations on the homology of powers of real projective space
 R. R. Bruner  Ext in the nineties
 F. R. Cohen and L. R. Taylor  On the representation theory associated to the cohomology of configuration spaces
 P. Goerss, J. Lannes, and F. Morel  Hopf algebras, Witt vectors, and BrownGitler spectra
 B. Gray  \(v_2\) periodic homotopy families
 H.W. Henn and H. Mui  Stable splittings for classifying spaces of alternating, special orthogonal and special unitary groups
 T. Kashiwabara  On the homotopy type of configuration complexes
 S. O. Kochman  The ring structure of BoP\(_*\)
 W.H. Lin  Projectivity of the Whitehead product in spheres II
 J. M. Lodder  Dihedral homology and homotopy fixed point sets
 M. Mahowald and W. Richter  \(\Omega SU(n)\) does not split in \(2\) suspensions, for \(n \geq 3\)
 M. Mahowald and K. Shimomura  The AdamsNovikov spectral sequence for the \(L_2\) localization of a \(v_2\) spectrum
 B. M. Mann and R. J. Milgram  The topology of rational maps to Grassmannians and a homotopy theoretic proof of the Kirwan stability theorem
 H. J. Marcum  Obstructions for a map to be cyclic
 C. A. McGibbon  Loop spaces and phantom maps
 M. Mimura, S. Oka, and M. Yasuo  Ktheory and the homotopy types of some function spaces
 N. Minami  On the double transfer
 J. Morava  Some examples of Hopf algebras and Tannakian categories
 G. Moreno  The Hurewicz homomorphism of the compact exceptional Lie group \({\mathbb E}_6\)
 K. Morisugi  Periodic behavior of \(\Sigma CP_\infty\) and its applications
 Y. Rudyak  On the orientability of bundles and fibrations: The obstruction theory and applications to \(K\), \(KO\) and Morava \(K\)theories
 H. Sadofsky  Hopkins' and Mahowald's picture of Shimomura's \(v_1\)Bockstein spectral sequence calculation
 M. C. Tangora  Some remarks on products in Ext
 R. D. Thompson  A relation between \(K\)theory and unstable homotopy groups with an application to \(B\Sigma _p\)
 P. J. Webb  Graded \(G\)sets, symmetric powers of permutation modules, and the cohomology of wreath products
 J. A. Wood  Nilpotent elements in the Bockstein spectral sequence for \(B{\mathrm Spin}(n)\) ; Appendix 1: The publications of Mark Mahowald
 P. L. Shick  Appendix 2: Adams spectral sequence chart
