The chromatic convergence theorem and a tower in algebraic $K$-theory
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- by J. E. McClure and R. E. Staffeldt PDF
- Proc. Amer. Math. Soc. 118 (1993), 1005-1012 Request permission
Abstract:
In this note we show how the chromatic convergence theorem of Hopkins and Ravenel implies that a tower of relative algebraic $K$-theories constructed by Waldhausen converges to the $p$-local part of the algebraic $K$-theory of the one-point space relative to the $K$-theory of the integers. The notion of convergence used here is made precise using the language of pro-homotopy theory.References
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Additional Information
- © Copyright 1993 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 118 (1993), 1005-1012
- MSC: Primary 55P42; Secondary 18F25, 19D06, 19D10, 55P60
- DOI: https://doi.org/10.1090/S0002-9939-1993-1164148-5
- MathSciNet review: 1164148