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Results tagged with monoidal-categories
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user 11546
3
votes
Accepted
Grothendieck Construction, Categories of Operators and Opposites
This question is answered in the affirmative in a recent paper of mine with Liang Ze Wong. In fact, we prove it more generally for a (strictly) monoidal simplicially enriched category. As any simplici …
- 10.5k
10
votes
1
answer
491
views
Grothendieck Construction, Categories of Operators and Opposites
Given a symmetric monoidal category $C$, we can construct its endomorphism operad (or multicategory) $End(C)$ whose objects are the objects of $C$, and for which the multimorphisms from $\{c_1,\ldots, …
- 10.5k
5
votes
Schwede-Shipley theorem for monoidal categories?
This is an old question, but just for completeness, the answer to this question is that yes there is a similar criterion (as Jacob Lurie comments above). This is Proposition 7.1.2.6 of Jacob's Higher …
- 10.5k
5
votes
0
answers
224
views
Lax monoidal structure on the right Kan extension of a partially monoidal Γ-set
First some preliminaries. Let me write $Fin_\ast$ for the skeleton of the category of finite pointed sets and pointed maps between them on the objects $n_+=\{0,1,...,n\}$, where $0$ is the base point …
- 10.5k