Download Algebraic Topology Barcelona 1986: Proceedings of a by Michèle Audin (auth.), J. Aguadé, R. Kane (eds.) PDF

By Michèle Audin (auth.), J. Aguadé, R. Kane (eds.)

Contents: M. Audin: sessions Caracteristiques Lagrangiennes.- A. Baker: Combinatorial and mathematics Identities in accordance with Formal workforce Laws.- M.C. Crabb: at the good Splitting of U(n) and ÛU(n).- E. Dror Farjoun, A. Zabrodsky: The Homotopy Spectral series for Equivariant functionality Complexes.- W.G. Dwyer, G. Mislin: at the Homotopy form of the elements of map*(BS3, BS3).- W.G. Dwyer, H.R. Miller, C.W. Wilkerson: The Homotopy forte of BS3.- W.G. Dwyer, A. Zabrodsky: Maps among Classifying Spaces.- B. Eckmann: Nilpotent staff motion and Euler Characteristic.- N.D. Gilbert: at the basic 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 classification of Homotopy Factorizations.- L.J. Hernández: right Cohomologies and the right kind type Problem.- A. Kono, ok. Ishitoya: Squaring Operations in Mod 2 Cohomology of Quotients of Compact Lie teams through Maximal Tori.- J. Lannes; L. Schwartz: at the constitution 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. wooden: Splitting (CP x...xCP ) and the motion of Steenrod Squares Sqi at the Polynomial Ring F2 Äx1,...,xnÜ.

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The subspace of Gk(V) by T is the real G r a s s m a n n i a n of k - d i m e n s i o n a l subspaces of V~. by taking fixed points of T we obtain from of O(V~) +. 8) (with fixed So a stable d e c o m p o s i t i o n This will be equivariant with respect to the group - 41 NF/ (where is the s u b g r o u p g e n e r a t e d by T and N F denotes the n o r m a l i z e r in F(V)), that is, the p r o j e c t i v e o r t h o g o n a l group PO(V~). 10. V There is a PO(V~{)-equivariant stable d e c o m p o s i t i o n G~{(V~{ ) k ~(~) -~) O (V~{)+ , 0<~k~

P(V) ~ ~U(V;W) (since W ~ End~(V). extend a , 9U(V;W) We define S°(V;W) (End(V)) T by m a p p i n g supporting their space is c o n n e c t e d can on t h e r e of e v i d e n c e To d e s c r i b e more q point of = E Sp(V) we space this piece Richter. pE(-1) m @ ~, b e c a u s e quaternionic the in End~(V) have 9 W. 20. ) The quotient to the T h o m space S k ( V ) ~ At this point we must specialize one, and write W = L for emphasis. onto sk(v;L), because SI(L) sk(v;w)/sk-I(V;W) ® W to the case in which W has d i m e n s i o n Then S k ( V @ L) maps bijectively is a point.

Knapp, On the codegree of negative multiples the Hopf bundle (preprint, 1986). 5. T. Frankel, Critical submanifolds of the classical groups and Stiefel manifolds, in Differential and Combinatorial Topology: Symposium in Honor of Marston Morse, 37-53 (ed. S. Cairns, Princeton University Press, 1965). Theory New York, 1967). (Cambridge University On the space of matrices 6. M. James, Spaces associated with Stiefel manifolds, Math. Soc. 9 (1959), 115-40. 7. M. James, General T o p o l o g y and Homotopy Theory York, 1984).

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