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Results tagged with model-categories
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user 6249
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.
9
votes
1
answer
511
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Are cofibrant commutative S-algebras flat?
Let $R$ be a cofibrant commutative $S$-algebra (in the sense of Elmendorf-Kriz-Mandell-May; they call them "$q$-cofibrant") and $A$ be a cofibrant commutative $R$-algebra.
Does $A\wedge_R-:RMod→RM …
- 3,004
7
votes
1
answer
430
views
Is it possible to compute André-Quillen cohomology by resolving the module variable?
Let $A\to B$ be a morphism of commutative rings. Let $\mathcal C$ be the category of commutative $A$-algebras augmented over $B$. Let $\mathcal M_B$ denote the category of $B$-modules. The cotangent c …
- 3,004
3
votes
0
answers
217
views
Can a functorial factorization be modified so that it fixes the initial object?
Consider a category $\mathcal C$ with a weak factorization system which is functorial. Let $*$ be an initial object. If $X\in \mathcal C$, denote by $\eta_X:*\to X$ the unique map. Using the given wfs …
- 3,004