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Erratum: Algebraic K-theory and étale cohomology. (English) Zbl 0714.14006

The author provides a connection to the proof of proposition 2.42 of his cited paper in Ann. Sci. Éc. Norm. Super., IV. Sér. 18, 437-552 (1985; Zbl 0596.14012). Rick Jardine pointed out to the author that the usual method to obtain a map from a homotopy colimit of a filtered system of maps which are coherent up to homotopy only works for countable limits.
Since the author only requires the above map on homotopy groups he gives an argument which is sufficient to establish this weaker statement. Similar reparation is described for the author’s paper in Duke Math. J. 56, No.3, 589-639 (1988; Zbl 0655.55002).
Reviewer: V.P.Snaith

MSC:

14C35 Applications of methods of algebraic \(K\)-theory in algebraic geometry
14F20 Étale and other Grothendieck topologies and (co)homologies
55N15 Topological \(K\)-theory
19F27 Étale cohomology, higher regulators, zeta and \(L\)-functions (\(K\)-theoretic aspects)