caa a22 4500 475738012 CHVBK 20180406123452.0 cr unu---uuuuu 170329e20000101xx s 000 0 eng 10.1007/s002229900022 doi (NATIONALLICENCE)springer-10.1007/s002229900022 Krause Henning Fakultät für Mathematik, Universität Bielefeld, D-33501 Bielefeld, Germany¶(e-mail: henning@mathematik.uni-bielefeld.de), Germany aut Smashing subcategories and the telescope conjecture - an algebraic approach [Elektronische Daten] [Henning Krause] 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. Springer-Verlag Berlin Heidelberg, 2000 Inventiones mathematicae Springer Berlin Heidelberg 139/1(2000-01-01), 99-133 0020-9910 139:1<99 2000 139 222 https://doi.org/10.1007/s002229900022 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s002229900022 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Krause Henning Fakultät für Mathematik, Universität Bielefeld, D-33501 Bielefeld, Germany¶(e-mail: henning@mathematik.uni-bielefeld.de), Germany aut NATIONALLICENCE 773 0- Inventiones mathematicae Springer Berlin Heidelberg 139/1(2000-01-01), 99-133 0020-9910 139:1<99 2000 139 222 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer