Thomason, R. W. Erratum: Algebraic K-theory and étale cohomology. (English) Zbl 0714.14006 Ann. Sci. Éc. Norm. Supér. (4) 22, No. 4, 675-677 (1989). 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 Cited in 4 Documents 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) Keywords:étale cohomology; K-theory Citations:Zbl 0596.14012; Zbl 0655.55002 × Cite Format Result Cite Review PDF Full Text: DOI Numdam EuDML