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Results tagged with higher-category-theory
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user 84398
For questions involving one or more categorical dimensions, or involving homotopy coherent categorical structures.
3
votes
0
answers
149
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Displaying displayed categories
Displayed categories provide a natural categorification from classifying functions to the world of functors. The spirit of the idea is to encode a functor $ F: D \to C $ using a suitable 2-functor (la …
- 713
1
vote
0
answers
68
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Underdetermined Polynomial $(\infty ,1)$-Functors
Is there any sense in which the full subcategory of n-excisive functors (on spectra or on pointed spaces) on those functors $F$ which satisfy a set of distinct (modulo homotopy equivalence) equations …
- 713
2
votes
1
answer
292
views
Can tangent ($\infty$,1)-categories be described in terms of the higher Grothendieck constru...
Given a locally presentable ($\infty$,1)-category $C$, can the fibrewise stabilization of it's codomain fibration, also called its tangent category $TC$, be given in terms of the Grothendieck construc …
- 713
3
votes
0
answers
133
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Is there a construction capturing indexed families of adjunctions?
I'm sorry in advance if this question does not belong on this site. I am curious as to what is "really" going on when you have a family of functors indexed by elements in a base category, all of which …
- 713