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Results tagged with ct.category-theory
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user 11300
Enriched categories, topoi, abelian categories, monoidal categories, homological algebra.
8
votes
2
answers
469
views
Reference Request: Lax Ends
I've read in a few different places that the standard fact
$\text{Nat}\,(F,G) \cong \int_x \text{Hom}\,(Fx,Gx)$
can be upgraded to
$\textbf{LaxNat}\,(F,G) \cong \oint_x\textbf{Hom}\,(Fx,Gx)$.
where th …
- 569
3
votes
1
answer
470
views
pseudofunctors and pseudonatural transformations
Based on the discussion here
I feel like there should be a bijection between pseudonatural transformations of pseudofunctors $J\to\mathcal{C}$ and pseudofunctors $J\times [1]\to\mathcal{C}$, at least …
- 569
8
votes
1
answer
572
views
Nerve: Groupoids-> Kan Complexes. Nerve: Bicategories w. adjoints -> ?
If you take the nerve of a groupoid, you get a Kan complex.
Question:
Take a bicategory that has adjoints for 1-morphisms, which is one notion of 'weak' groupoid (if all 2-morphisms are isomorphisms …
- 569
4
votes
1
answer
248
views
Compatibility of classifying space with inner-hom?
Let $\mathbf{sTop}$ be the functor category $\mathbf{Top}^{{\mathbf{\Delta}}^{\textit{op}}}$, and let $\mathbf{sCat}$ be the functor category
$\mathbf{Cat}^{{\mathbf{\Delta}}^{\textit{op}}}$, and let …
- 569