Local Projective Model Structures on Simplicial Presheaves

By Benjamin A. Blander. 2001

105 citations recorded by the source corpus.

Subfields: Algebra and Number Theory, Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/0454f36d4fe7911922e3eb14a0ca85d69a24b03b

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Citations in the corpus

CATEGORICAL HOMOTOPY THEORY (2006, background): “Recall (see, for example, [1]) that, since M is cofibrantly generated, there is a model structure on the category of I-diagrams I →M for which the weak equivalences and fibrations are defined pointwise.”
The norm residue isomorphism theorem (2009, background): “Next, since Rtr(X) ∼= Rtr(X) ⊗ Rtr(X), the correspondence f → X ⊗ f induces an isomorphism HomDM (Rtr(X), L [1]) −→ HomDM (Rtr(X), Rtr(X) ⊗ L [1]).”
Cyclic homology, cdh-cohomology and negative K-theory (2005, background): “Even though we don’t need it, we remark that for all the model structures we consider, a fibrant replacement can be chosen functorially by the “small object argument” (see [19] for the local injective model structure, and [2] for the projective model structures).”
Homotopy Theory of Higher Categories: THE MODEL STRUCTURE (2010, background): “Of course, these model structures have a long history going back to Bousfield-Kan and others, more recently considered by Hirschhorn [116], Smith (see Beke [27], Dugger [84]), Blander [41], Barwick [16].”
Framed motives of algebraic varieties (after V. Voevodsky) (2014, background): “By [2, 3.1] sShv • ( Sm / k ) has the projective motivic model structure in which generating coﬁ-brations are given by Equivalently, this family can be regarded as a family in ∆ op Fr 0 ( k ) of the arrows Let X (cid:55)→ X c be the coﬁbrant replacement functor in sShv • ( Sm / k ) with respect to…”