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Results tagged with higher-category-theory
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user 131104
For questions involving one or more categorical dimensions, or involving homotopy coherent categorical structures.
12
votes
0
answers
2k
views
Visualization and new geometry in higher stacks
I am trying to develop a geometrical intuition for "higher spaces", i.e. both in the sense of higher dimensional spaces (more than three dimensions) and in the sense of abstractions beyond manifolds a …
- 787
7
votes
0
answers
624
views
Understanding the higher stack of perfect complexes
One of the most famous examples of higher Artin stacks is the stack of perfect complexes. I recall here the basic stuff:
We fix a function $b: \mathbb{Z} \rightarrow
\mathbb{N}$ which is zero outsid …
- 787
3
votes
0
answers
198
views
$2$-vector spaces and algebraic $2$-stacks
I am thinking about higher Artin stacks in the sense of Simpson, concretely I would like to calculate the dimension and compare these two cases:
$\mathfrak{X}_{1}=$ Higher linear stack classifying ( …
- 787