A dedicated global model structure for K-linear ∞-local systems is constructed via simplicial chain complexes, monoidal for base 1-types under the external tensor product.
Fausk, T-model structures on chain complexes of presheaves , [ arXiv:math/0612414 https://arxiv.org/abs/math/0612414]
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abstract
A tensor model structure is constructed on the category of chain complexes of presheaves of R-modules for a sheaf of rings R in a Grothendieck topos. If the topos has enough points, then the homotopy category is equivalent to the derived category. Some t-structures, generalizing the perverse t-structures, are constructed on the derived category.
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The pushout of entangled and parameterized quantum information in monoidal categories yields the external tensor product on flat K-theory bundles.
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A Global Model Structure for $\mathbb{K}$-Linear $\infty$-Local Systems
A dedicated global model structure for K-linear ∞-local systems is constructed via simplicial chain complexes, monoidal for base 1-types under the external tensor product.
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Entanglement of Sections: The pushout of entangled and parameterized quantum information
The pushout of entangled and parameterized quantum information in monoidal categories yields the external tensor product on flat K-theory bundles.