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Results tagged with higher-category-theory
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user 18702
For questions involving one or more categorical dimensions, or involving homotopy coherent categorical structures.
17
votes
1
answer
1k
views
What's the stabilization of the $\infty$-category of $\infty$-categories?
$\require{AMScd}$One nice thing about $\infty$-categories is that spaces are themselves $\infty$-categories. What's the analogue for spectra? Presumably this would be the stabilization of the $\infty$ …
- 9,491
5
votes
0
answers
136
views
"Characteristics" (thick subcategories) in $n$-groupoids
$
\newcommand{\Ab}{\mathbf{Ab}}
\newcommand{\Sp}{\mathbf{Sp}}
$In 0-groupoids (sets), the thick subcategories of the category of abelian groups $\Ab$ are given by the primes $p$ and $0$, which we can …
- 1,838
9
votes
2
answers
474
views
Algebras in a bicategory of spans
$
\newcommand{\Span}{\mathbf{Span}}
\newcommand{\cE}{\mathcal E}
$Given a category $\cE$ with plenty of limits, let $\Span(\cE)$ denote the bicategory of spans in $\cE$. It is known that monads in $\S …
- 2,312
2
votes
2
answers
264
views
Automorphisms and Bicategories
Sorry if this isn't the right place for this, it hasn't gotten any answers on ME. I'm reading Lang's section on field theory and he stresses that, unlike typical "universal" constructions which are de …
- 3,622