eBook ISBN:  9780821877371 
Product Code:  CONM/146.E 
List Price:  $125.00 
MAA Member Price:  $112.50 
AMS Member Price:  $100.00 
eBook ISBN:  9780821877371 
Product Code:  CONM/146.E 
List Price:  $125.00 
MAA Member Price:  $112.50 
AMS Member Price:  $100.00 

Book DetailsContemporary MathematicsVolume: 146; 1993; 481 ppMSC: Primary 55; Secondary 00
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.
ReadershipMathematicians interested in algebraic topology and related fields of research.

Table of Contents

Articles

H. R. Miller and D. C. Ravenel — Mark Mahowald’s work on the homotopy groups of spheres [ MR 1224904 ]

Donald M. Davis — Immersions of projective spaces: a historical survey [ MR 1224905 ]

David Blanc — Abelian $\Pi $algebras and their projective dimension [ MR 1224906 ]

J. Michael Boardman — Modular representations on the homology of powers of real projective space [ MR 1224907 ]

Robert R. Bruner — ${\rm Ext}$ in the nineties [ MR 1224908 ]

F. R. Cohen and L. R. Taylor — On the representation theory associated to the cohomology of configuration spaces [ MR 1224909 ]

P. Goerss, J. Lannes and F. Morel — Hopf algebras, Witt vectors, and BrownGitler spectra [ MR 1224910 ]

Brayton Gray — $v_2$ periodic homotopy families [ MR 1224911 ]

HansWerner Henn and Huỳnh Mui — Stable splittings for classifying spaces of alternating, special orthogonal and special unitary groups [ MR 1224912 ]

Takuji Kashiwabara — On the homotopy type of configuration complexes [ MR 1224913 ]

Stanley O. Kochman — The ring structure of ${\rm BoP}_*$ [ MR 1224914 ]

Wên Hsiung Lin — Projectivity of the Whitehead product in spheres. II [ MR 1224915 ]

Jerry M. Lodder — Dihedral homology and homotopy fixed point sets [ MR 1224916 ]

Mark Mahowald and William Richter — $\Omega {\rm SU}(n)$ does not split in 2 suspensions, for $n\geq 3$ [ MR 1224917 ]

Mark Mahowald and Katsumi Shimomura — The AdamsNovikov spectral sequence for the $L_2$ localization of a $v_2$ spectrum [ MR 1224918 ]

Benjamin M. Mann and R. James Milgram — The topology of rational maps to Grassmannians and a homotopytheoretic proof of the Kirwan stability theorem [ MR 1224919 ]

Howard J. Marcum — Obstructions for a map to be cyclic [ MR 1224920 ]

C. A. McGibbon — Loop spaces and phantom maps [ MR 1224921 ]

Mamoru Mimura, Shichirô Oka and Minato Yasuo — $K$theory and the homotopy types of some function spaces [ MR 1224922 ]

Norihiko Minami — On the double transfer [ MR 1224923 ]

Jack Morava — Some examples of Hopf algebras and Tannakian categories [ MR 1224924 ]

Guillermo Moreno — The Hurewicz homomorphism of the compact exceptional Lie group $E_6$ [ MR 1224925 ]

Kaoru Morisugi — Periodic behavior of $\Sigma {\bf C}{\rm P}^\infty $ and its applications [ MR 1224926 ]

Yuly Rudyak — On the orientability of bundles and fibrations: the obstruction theory and applications to $K,\;K{\rm O}$ and Morava $K$theories [ MR 1224927 ]

Hal Sadofsky — Hopkins’ and Mahowald’s picture of Shimomura’s $v_1$Bockstein spectral sequence calculation [ MR 1224928 ]

Martin C. Tangora — Some remarks on products in ${\rm Ext}$ [ MR 1224929 ]

Robert D. Thompson — A relation between $K$theory and unstable homotopy groups with an application to $B\Sigma _p$ [ MR 1224930 ]

Peter J. Webb — Graded $G$sets, symmetric powers of permutation modules, and the cohomology of wreath products [ MR 1224931 ]

Jay A. Wood — Nilpotent elements in the Bockstein spectral sequence for $B{\rm Spin}(n)$ [ MR 1224932 ]

Martin C. Tangora — Appendix 1: The publications of Mark Mahowald [ MR 1224933 ]

Paul L. Shick — Appendix 2: Adams spectral sequence chart [ MR 1224934 ]


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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.
Mathematicians interested in algebraic topology and related fields of research.

Articles

H. R. Miller and D. C. Ravenel — Mark Mahowald’s work on the homotopy groups of spheres [ MR 1224904 ]

Donald M. Davis — Immersions of projective spaces: a historical survey [ MR 1224905 ]

David Blanc — Abelian $\Pi $algebras and their projective dimension [ MR 1224906 ]

J. Michael Boardman — Modular representations on the homology of powers of real projective space [ MR 1224907 ]

Robert R. Bruner — ${\rm Ext}$ in the nineties [ MR 1224908 ]

F. R. Cohen and L. R. Taylor — On the representation theory associated to the cohomology of configuration spaces [ MR 1224909 ]

P. Goerss, J. Lannes and F. Morel — Hopf algebras, Witt vectors, and BrownGitler spectra [ MR 1224910 ]

Brayton Gray — $v_2$ periodic homotopy families [ MR 1224911 ]

HansWerner Henn and Huỳnh Mui — Stable splittings for classifying spaces of alternating, special orthogonal and special unitary groups [ MR 1224912 ]

Takuji Kashiwabara — On the homotopy type of configuration complexes [ MR 1224913 ]

Stanley O. Kochman — The ring structure of ${\rm BoP}_*$ [ MR 1224914 ]

Wên Hsiung Lin — Projectivity of the Whitehead product in spheres. II [ MR 1224915 ]

Jerry M. Lodder — Dihedral homology and homotopy fixed point sets [ MR 1224916 ]

Mark Mahowald and William Richter — $\Omega {\rm SU}(n)$ does not split in 2 suspensions, for $n\geq 3$ [ MR 1224917 ]

Mark Mahowald and Katsumi Shimomura — The AdamsNovikov spectral sequence for the $L_2$ localization of a $v_2$ spectrum [ MR 1224918 ]

Benjamin M. Mann and R. James Milgram — The topology of rational maps to Grassmannians and a homotopytheoretic proof of the Kirwan stability theorem [ MR 1224919 ]

Howard J. Marcum — Obstructions for a map to be cyclic [ MR 1224920 ]

C. A. McGibbon — Loop spaces and phantom maps [ MR 1224921 ]

Mamoru Mimura, Shichirô Oka and Minato Yasuo — $K$theory and the homotopy types of some function spaces [ MR 1224922 ]

Norihiko Minami — On the double transfer [ MR 1224923 ]

Jack Morava — Some examples of Hopf algebras and Tannakian categories [ MR 1224924 ]

Guillermo Moreno — The Hurewicz homomorphism of the compact exceptional Lie group $E_6$ [ MR 1224925 ]

Kaoru Morisugi — Periodic behavior of $\Sigma {\bf C}{\rm P}^\infty $ and its applications [ MR 1224926 ]

Yuly Rudyak — On the orientability of bundles and fibrations: the obstruction theory and applications to $K,\;K{\rm O}$ and Morava $K$theories [ MR 1224927 ]

Hal Sadofsky — Hopkins’ and Mahowald’s picture of Shimomura’s $v_1$Bockstein spectral sequence calculation [ MR 1224928 ]

Martin C. Tangora — Some remarks on products in ${\rm Ext}$ [ MR 1224929 ]

Robert D. Thompson — A relation between $K$theory and unstable homotopy groups with an application to $B\Sigma _p$ [ MR 1224930 ]

Peter J. Webb — Graded $G$sets, symmetric powers of permutation modules, and the cohomology of wreath products [ MR 1224931 ]

Jay A. Wood — Nilpotent elements in the Bockstein spectral sequence for $B{\rm Spin}(n)$ [ MR 1224932 ]

Martin C. Tangora — Appendix 1: The publications of Mark Mahowald [ MR 1224933 ]

Paul L. Shick — Appendix 2: Adams spectral sequence chart [ MR 1224934 ]