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k-invariants for K-theory of curves over global fields

2009
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Journal of K-Theory
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Introduction. Let X be a connected simple CW-complex and let α n : X → X[n] denote the n-th Postnikov section of X for any positive integer n : X[n] is the CW-complex obtained from X by killing the homotopy groups of X in dimensions > n, more precisely by adjoining cells of dimensions ≥ n + 2 such that π j (X[n]) = 0 for j > n and (α n ) * : π j (X) → π j (X[n]) is an isomorphism for j ≤ n. The Postnikov k-invariants of X are cohomology classes k n+1 (X) ∈ H n+1 (X[n − 1]; π n (X)), for n ≥ 2,

doi:10.1017/is008012021jkt071
fatcat:4odfbuoqjncnbnl54vulrsz4pa