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vls/2603nrwcece.visuallibrary.netvdCellular Ek-algebrasGalatius, Søren1976-VerfasserautKupers, AlexanderVerfasserautRandal-Williams, OscarVerfasserauttextTextbookfrXA-FRParisSociété Mathématique de France[2025]© 20252025monographicengprintx, 299 Seiten : Illustrationenohne Hilfsmittel zu benutzenBandWe give a set of foundations for cellular Ek-algebras which are especially convenient for applications to homological stability. We provide conceptual and computational tools in this setting, such as filtrations, a homology theory for Ek-algebras with a Hurewicz theorem, CW approximations, and many spectral sequences, which shall be used for such applications in future papers. Nous bâtissons les fondations de la théorie des Ek-algèbres cellulaires, en vue d’applications en stabilité homologique. Nous donnons des outils conceptuels et des outils de calcul, y compris des filtrations, une théorie d’homologie pour les Ek-algèbres avec un théorème de Hurewicz, des approximations cellulaires, et plusieurs suites spectrales. Keywords: k-algebras, cellular approximation, indecomposables, bar construction, homological stabilityS. Galatius, A. Kupers & O. Randal-WilliamsLiteraturverzeichnis: Seite [285]-29257T3055R4057R9018N4055P4855P35SI 832978237905219499376254362406441HT031326546Astérisque460(DE-605)HT00125608449HBZ_BIE49HBZ_PAD49HBZ_DUE49HBZ_UBArda25112820260123143613.0154372501ger https://ce.visuallibrary.net//domainresource/static/graphics/connectors/viewerLogo.gif http://193.30.112.129:83/F/?func=find-c&ccl_term=ICS%3D154372501+X0001 https://ce.visuallibrary.net/id/1376043 https://ce.visuallibrary.net/i3f/v20/1376043/manifest https://ce.visuallibrary.net/proto_ftsearch/1376043