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Results tagged with at.algebraic-topology
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user 429204
Homotopy theory, homological algebra, algebraic treatments of manifolds.
4
votes
1
answer
571
views
Who introduced nerves in category theory?
Who was the first to consider that categories were semi-simplicial sets (and in particular groupoids were simplicial sets)?
I think there was a concept of nerve of a covering in algebraic topology bef …
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1
vote
What are Picard categories, where can I learn more about them, and why should I care to?
Pursuing stacks should fit here.
There are plenty of uses of Picard categories (see the appendix), and in fact, the appendix list some examples of Picard 2, 3-categories.
- 894
7
votes
2
answers
319
views
Indexing categories of derivators
It is not clear to me the role of the domain and target in the definition of prederivators.
For instance, the classical references put the domain as $\mathit{Dia}$, others as $\mathit{Cat}$ itself.
So …
- 894
3
votes
0
answers
184
views
The site and the space
There is a (seemingly simple) statement in the literature on sheaf theory, namely,
If $E$ is the site of opens of a topological space $X$, the notion of sheaf over $X$ coincides with that of sheaf of …
- 894
7
votes
Jouanolou thesis on l-adic cohomology
The thesis is now published and you can find it in HAL/TEL
https://theses.hal.science/tel-04236971v1
Jean-Pierre Jouanolou. Catégories Dérivées en Cohomologie ℓ-adique. Mathématiques [math]. Faculté d …
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