L-stable functors

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dc.creatorBiedermann, Georg
dc.date2007-04-19
dc.date.accessioned2026-07-07T07:57:21Z
dc.date.available2026-07-07T07:57:21Z
dc.descriptionWe generalize and greatly simplify the approach of Lydakis and Dundas-Röndigs-Østvær to construct an L-stable model structure for small functors from a closed symmetric monoidal model category V to a V-model category M, where L is a small cofibrant object of V. For the special case V=M=S_* pointed simplicial sets and L=S^1 this is the classical case of linear functors and has been described as the first stage of the Goodwillie tower of a homotopy functor. We show, that our various model structures are compatible with a closed symmetric monoidal product on small functors. We compare them with other L-stabilizations described by Hovey, Jardine and others. This gives a particularly easy construction of the classical and the motivic stable homotopy category with the correct smash product. We establish the monoid axiom under certain conditions.
dc.description39 pages
dc.identifierhttps://arxiv.org/abs/0704.2576
dc.identifierhttp://arxiv.org/abs/0704.2576
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/127623
dc.subjectAlgebraic Topology
dc.subjectCategory Theory
dc.subject55P42, 55U35, 18D20, 55P91
dc.titleL-stable functors
dc.typetext

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