Abstract.
We prove a modified version of Ravenel’s telescope conjecture. It is shown that every smashing subcategory of the stable homotopy category is generated by a set of maps between finite spectra. This result is based on a new characterization of smashing subcategories, which leads in addition to a classification of these subcategories in terms of the category of finite spectra. The approach presented here is purely algebraic; it is based on an analysis of pure-injective objects in a compactly generated triangulated category, and covers therefore also situations arising in algebraic geometry and representation theory.
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Oblatum 23-XI-1998 & 19-V-1999 / Published online: 5 August 1999
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Krause, H. Smashing subcategories and the telescope conjecture – an algebraic approach. Invent. math. 139, 99–133 (2000). https://doi.org/10.1007/s002229900022
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DOI: https://doi.org/10.1007/s002229900022