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A model category is a category equipped with notions of weak equivalences, fibrations and cofibrations allowing to run arguments similar to those of classical homotopy theory.

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Comparison of model structures

I am just learning some basics of model categories, so pardon me if my question is trivial. Suppose that $\mathfrak{C}$ is a category and there exists two model structures on $\mathfrak{C}$ (For exam …
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dg-flat complexes and their characters

Let $\otimes$ denotes the usual tensor products of complexes and symbols live in the category of chain complexes of $R$-modules. Let $X$ be a dg-flat complex (i.e. $X_n$ is flat for each n and $X\otim …
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