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Results tagged with at.algebraic-topology
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user 51424
Homotopy theory, homological algebra, algebraic treatments of manifolds.
3
votes
Accepted
detecting weak equivalences in a simplicial model category II
I think the following gives a counterexample:
Take the category of morphisms in $\operatorname{SSet}$, i.e., the category $\operatorname{Fun}(C,\operatorname{SSet}),$ where $C$ is the category with t …
- 5,958
39
votes
2
answers
2k
views
What parts of the theory of quasicategories have been simplified since the publication of HTT?
It has been almost ten years since Lurie published Higher Topos Theory, where (following Joyal and probably others) he set up foundations for higher category theory via quasicategories. My impression …
- 5,958
3
votes
Accepted
Six functor formalism for quasi-coherent $D$-modules
They do not exist in general. The simplest example is maybe to take $X\rightarrow Y$ to be the closed embedding of the origin inside $\mathbb{A}^1.$ Then $f_*$ sends a vector space $V$ to the $\mathca …
- 5,958