Abstract
We discuss the chromatic filtration in stable homotopy theory and its connections with algebraic K-theory, specifically with some results of Thomason, Mitchell, Waldhausen and McClure-Staffeldt. We offer a new definition (suggested by the failure of the telescope conjecture) of the chromatic filtration, in which all of the localization functors used are finite.
Partially supported by the National Science Foundation
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Ravenel, D.C. (1993). Life after the Telescope Conjecture. In: Goerss, P.G., Jardine, J.F. (eds) Algebraic K-Theory and Algebraic Topology. NATO ASI Series, vol 407. Springer, Dordrecht. https://doi.org/10.1007/978-94-017-0695-7_10
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DOI: https://doi.org/10.1007/978-94-017-0695-7_10
Publisher Name: Springer, Dordrecht
Print ISBN: 978-90-481-4302-3
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