By Michèle Audin (auth.), J. Aguadé, R. Kane (eds.)
Contents: M. Audin: periods Caracteristiques Lagrangiennes.- A. Baker: Combinatorial and mathematics Identities in response to Formal staff Laws.- M.C. Crabb: at the solid 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 kind of the elements of map*(BS3, BS3).- W.G. Dwyer, H.R. Miller, C.W. Wilkerson: The Homotopy specialty of BS3.- W.G. Dwyer, A. Zabrodsky: Maps among Classifying Spaces.- B. Eckmann: Nilpotent crew 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 category Problem.- A. Kono, okay. Ishitoya: Squaring Operations in Mod 2 Cohomology of Quotients of Compact Lie teams by means of 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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Additional info for Algebraic Topology Barcelona 1986: Proceedings of a Symposium held in Barcelona, April 2–8, 1986
It is a p l e a s u r e in p a r t i c u l a r Gonqalves, for their algebra. R. Hubbuck, helpful comments. Notation Appropriate theory. The dimensional End(V) and and notation will take care of most of the e q u i v a r i a n t letters V and W will be r e s e r v e d ¢-Hilbert spaces. for n o n - z e r o Let n = dime V. ) for example, To s t u d y of U(V); PU(V) where s y m m e t r y we i n t r o d u c e ~ PU(V) Miller's F(V) the group F(V) to need to do so. of smooth theorem unitary direct space of elements necessarily) extends to Stiefel A superscript construction automorphisms Automorphisms We shall w r i t e embeddings As s y m m e t r y such that of U(V) isometries.
5), given a, for suitably large b, ~ B~ wa+b-* -BaE wb-* e A E. a a Hence, on applying a q_zj, we obtain a+b J - a la+b e The Theorem follows by universality Analogues [ka+bbwa h a and iterating concisely Theorem z: with of Katz's operations of a+b J - a this procedure. 8) to give elements e ~E We make use of this idea in . There is an E,-linear AE U. 9 AE d E,U. map We state this process 32 Theorem T h e r e is an E,-linear map 2,10 z: A E ~ A*U with n We do n o t g i v e f u l l proofs for these similar to those used for Section 3.
8. A. Kono, Segal-Becker (1981), 195-9. 9. S. Lang, Analysis II theorem Press, for KR-theory, (Addison-Wesley, Proc. 7 1969). H. Miller, Stable splittings (1985), 411-9. of Stiefel manifolds, 11. A. Mitchell, A filtration of the loops on SU(n) varieties (preprint, 1985). 12. A. Mitchell (lecture at the 1986 Barcelona Conference A l g e b r a i c Topology, April 1986). 13. B. Segal, Loop groups, in A r b e i t s t a g u n g Bonn 1984, (Springer Lecture Notes in Math. 1111, 1985). 14. P. Snaith, Algebraic Memoir 221, 1979).
Algebraic Topology Barcelona 1986: Proceedings of a Symposium held in Barcelona, April 2–8, 1986 by Michèle Audin (auth.), J. Aguadé, R. Kane (eds.)