Algebraic Topology Barcelona 1986: Proceedings of a Symposium held in Barcelona, April 2–8, 1986

Michèle Audin (auth.), J. Aguadé, R. Kane (eds.)3540187294, 9783540187295, 0387187294

Contents: M. Audin: Classes Caracteristiques Lagrangiennes.- A. Baker: Combinatorial and Arithmetic Identities Based on Formal Group Laws.- M.C. Crabb: On the Stable Splitting of U(n) and ÛU(n).- E. Dror Farjoun, A. Zabrodsky: The Homotopy Spectral Sequence for Equivariant Function Complexes.- W.G. Dwyer, G. Mislin: On the Homotopy Type of the Components of map*(BS3, BS3).- W.G. Dwyer, H.R. Miller, C.W. Wilkerson: The Homotopy Uniqueness of BS3.- W.G. Dwyer, A. Zabrodsky: Maps Between Classifying Spaces.- B. Eckmann: Nilpotent Group Action and Euler Characteristic.- N.D. Gilbert: On the Fundamental Catn-Group of an n-Cube of Spaces.- H.H. Glover: Coloring Maps on Surfaces.- P. Goerss, L. Smith, S. Zarati: Sur les A-Algèbres Instables.- K.A. Hardie, K.H. Kamps: The Homotopy Category of Homotopy Factorizations.- L.J. Hernández: Proper Cohomologies and the Proper Classification Problem.- A. Kono, K. Ishitoya: Squaring Operations in Mod 2 Cohomology of Quotients of Compact Lie Groups by Maximal Tori.- J. Lannes; L. Schwartz: On the Structure of the U-Injectives.- S.A. Mitchell: The Bott Filtration of a Loop Group.- Z. Wojtkowiak: On Maps from Holim F to Z.- R.M.W. Wood: Splitting (CP x…xCP ) and the Action of Steenrod Squares Sqi on the Polynomial Ring F2 Äx1,…,xnÜ.

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Table of contents :
Classes caracteristiques lagrangiennes….Pages 1-16
Combinatorial and arithmetic identities based on formal group laws….Pages 17-34
On the stable splitting of U(n) and ωU(n)….Pages 35-53
The homotopy spectral sequence for equivariant function complexes….Pages 54-81
On the homotopy type of the components of map * (BS 3 ,BS 3 )….Pages 82-89
The homotopic uniqueness of BS 3 ….Pages 90-105
Maps between classifying spaces….Pages 106-119
Nilpotent group action and Euler characteristic….Pages 120-123
On the fundamental cat n -group of an n-cube of spaces….Pages 124-139
Coloring maps on surfaces….Pages 140-147
Sur les A-algebres instables….Pages 148-161
The Homotopy category of homotopy factorizations….Pages 162-170
Proper cohomologies and the proper classification problem….Pages 171-191
Squaring operations in mod 2 cohomology of quotients of compact lie groups by maximal tori….Pages 192-206
On the structure of the μ-injectives….Pages 207-214
The bott filtration of a loop group….Pages 215-226
On maps from $$hunderrightarrow {ooperatorname{l} }im$$ F to Z….Pages 227-236
Splitting Σ(CP ∞ ×…× CP ∞ ) and the action of steenrod squares Sq i on the polynomial ring F 2 [x 1 ,…,x n ]….Pages 237-255