Algebraic Topology: Oaxtepec 1991: Oaxtepec 1991 :proceedings of an International Conference on Algebraic Topology, July 4-11, 1991 with Support from the National Science Foundation and the Consejo Nacional de Ciencia Y Technologia (Mexico)Martin C. Tangora This book consists of twenty-nine articles contributed by participants of the International Conference in Algebraic Topology held in July 1991 in 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. |
Contents
| 1 | |
a historical survey | 31 |
Abelian IIalgebras and their projective dimension | 39 |
Modular representations on the homology of powers of real projective space | 49 |
Ext in the nineties | 71 |
On the representation theory associated to the cohomology of configuration spaces | 91 |
Hopf algebras Witt vectors and BrownGitler spectra | 111 |
v2 periodic homotopy families | 129 |
Obstructions for a map to be cyclic | 277 |
Loop spaces and phantom maps | 297 |
K theory and the homotopy types of some function spaces | 309 |
On the double transfer | 339 |
Some examples of Hopf Algebras and Tannakian categories | 349 |
The Hurewicz homomorphism of the compact exceptional Lie group E6 | 361 |
Periodic behavior of ΣCpoo and its applications | 369 |
the obstruction theory and applications to K KO and Morava Ktheories | 383 |
Stable splittings for classifying spaces of alternating special orthogonal and special unitary groups | 143 |
On the homotopy type of configuration complexes | 159 |
The ring structure of BoP | 171 |
Projectivity of the Whitehead product in spheres II | 199 |
Dihedral homology and homotopy fixed point sets | 215 |
ΩSU n does not split in 2 suspensions for n 3 | 225 |
The AdamsNovikov spectral sequence for the L2 localization of a v2 spectrum | 237 |
The topology of rational maps to Grassmannians and a homotopy theoretic proof of the Kirwan stability theorem | 251 |
Hopkins and Mahowalds picture of Shimomuras v1Bockstein spectral sequence calculation | 407 |
Some remarks on products in Ext | 419 |
A relation between Ktheory and unstable homotopy groups with 431an application to BA relation between Ktheory and unstable homotopy groups ... | 431 |
Graded Gsets symmetric powers of permutation modules and the cohomology of wreath products | 441 |
Nilpotent elements in the Bockstein spectral sequence for BSpinn | 453 |
The publications of Mark Mahowald | 471 |
Adams Spectral Sequence chart | 479 |
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Common terms and phrases
1993 American Mathematical A-module abelian group Adams filtration Adams spectral sequence Amer calculations cofibration cohomology commutative diagram composite compute conjecture construction Contemporary Mathematics Volume COROLLARY cyclic defined degree denote differentials dimension elements exact sequence exponent fiber fibration follows functor graded groups of spheres hence homology homomorphism homotopy classes homotopy commutative homotopy equivalence homotopy groups homotopy theory homotopy type Hopf algebra Hopf invariant immersion inclusion induced integer isomorphism K-theory Lecture Notes LEMMA loop space M. E. Mahowald manifolds Mathematics Subject Classification Mathematics Volume 146 Milgram module monomials morphism n-sphere nonzero Notes in Math permanent cycle phantom map Poincaré series Postnikov Proc PROPOSITION prove real projective spaces relations representation result ring SG(n spectrum splitting stable homotopy Steenrod algebra structure subgroup summand suspension Topology trivial unstable vector bundles Whitehead product Wood complex zero