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arXiv · 1310.2932

Homotopy theory of relative simplicial presheaves

Boris Chorny
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Abstract

We show that a category $\mathscr{M}$ equipped with a model structure defined by a proper, locally small class of orbits $\mathscr{O}$ is Quillen equivalent to the category of small relative presheaves $\mathcal{P}(\mathscr{M},\mathscr{O})$.

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Boris Chorny. 2013-12-04. Homotopy theory of relative simplicial presheaves. https://doi.org/10.1007/s11856-014-1133-9

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