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Results tagged with model-categories
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user 121009
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.
10
votes
1
answer
305
views
Is every symmetric monoidal combinatorial model category symmetric monoidally Quillen equiva...
Is every symmetric monoidal combinatorial model category symmetric monoidally Quillen equivalent (by a zig-zag of symmetric monoidal Quillen equivalences)
to a symmetric monoidal combinatorial simpli …
- 1,361
4
votes
0
answers
61
views
Full subcategories of stable $\infty$-categories closed under all shifts
Is there a name for an $\infty$-category C that admits a zero object and suspensions such that the suspension functor $C \to C$ is an equivalence but which does not necessarily admit cofibers and fibe …
- 1,361
11
votes
2
answers
735
views
When does the forgetful functor from algebras over a monad commute with homotopy geometric r...
Let $\mathcal{C}$ be a combinatorial model category and $\mathrm{T}$ a monad on
$\mathcal{C}.$
Assume that the model structure on $\mathcal{C}$ lifts to a model structure on
the category of $\math …
- 1,361
4
votes
0
answers
168
views
Building conilpotent coalgebras from co-square-zero-extensions
Let $\mathrm{K}$ be a field of char. 0.
Given a chain complex $\mathrm{X} $ over $\mathrm{K}$ denote $\mathrm{E}(\mathrm{X})$ the co-square-zero-extension on $\mathrm{X}, $ i.e. the
cocommutative no …
- 1,361