By Michaeol J. Stein
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Additional info for Algebraic K-Theory: Proceedings of the Conference Held at Northwestern University Evanston, January 12–16, 1976
3. Since K'I(x) = KO(sx) and~'o'l(x) = K~(SX) where SX denotes the reduced suspension of X [Atiyah, p 67], for the n-sphere recover k-l(Sn) Sn using Sn + l ~ SSn we can and K'O'I(sn) from well known computations of KO(sn) and ~(sn). 2: r Let An 1 2 3 4 S 6 7 I 0 Z 0 Z 0 Z 0 Z Z2 Z 2 O Z O O O Z R[Xl,X2. . l) and Bn = An •R r = I . . . Xn+i]/(x~ +... + X2+l-l). An , Bn are dense subalgebras of real, complex valued continuous functions on the n-sphere Sn. SKI(Xn) ~ SKI(An) = SKI(RSn) ~ KO-I(sn).
With application to algebraic The intermediate jacobian of Ann. Math 95(1972) 281-356. Periods of integrals on algebraic manifolds; summary of main results and discussion of open problems, Bull. Amer. Math. Soc. (2) 76(1970). 7. A. , ll Rue Pierre Curie, Paris 5 e (1962). 8. A. Grothendieck, Sur la classification des flbr6s holomorphes sur la sphere de Riemann, Amer. J. Math. 79(1957)121-138. 9. S. Lang, Abelian Varieties, New York, Intersclence, 10. V. A. D. Ju. I. Martin, Three-dlmensional (1959).
If (Graph t h e o r e t i c term- C i r c u i t s of the graph are as 49 defined on p,27 Regard M entries in each row by N . (over of ). as a m a t r i x over from T h e n i t is n o t Q) a n d circuit of M N Each row of M the rationals +I to -i . h a r d to s h o w (over Z/2Z) has two non-zero Q2 and change Denote that the resulting Furthermore can be taken the coefficients one of the the row matroids are the same, entries. as +i. matrix of N in each (N can be u thought each o f as t h e i n c i d e n c e edge of our original Now observe is t h e i n c i d e n c e are n(T) does not and m(T) change considerations variety X dependence columns of a .
Algebraic K-Theory: Proceedings of the Conference Held at Northwestern University Evanston, January 12–16, 1976 by Michaeol J. Stein