Vol. 43, No. 2, 1972

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Homotopy and algebraic K-theory

Barry H. Dayton

Vol. 43 (1972), No. 2, 297–305
Abstract

A notion of homotopy is described on a category of rings. This is used to induce a notion of equivalence on the categories of projective modules and to construct a K-theory exact sequence. The topological K-theory exact sequence is then obtained from the algebraic K0,K1 sequence.

Mathematical Subject Classification
Primary: 55D99
Secondary: 55B15
Milestones
Received: 10 August 1971
Published: 1 November 1972
Authors
Barry H. Dayton