Year: 2024
Type: article
Abstract: Let $${{\mathcal {O}}}\rightarrow {\text {BM}}$$ O → BM be a $${\text {BM}}$$ BM -operad that exhibits an $$\infty $$ ∞ -category $${{\mathcal {D}}}$$ D as weakly bitensored over non-symmetric $$\infty $$ ∞ -operads $${{\mathcal {V}}}\rightarrow \text {Ass }, {{\mathcal {W}}}\rightarrow \text {Ass }$$ V → Ass , W → Ass and $${{\mathcal {C}}}$$ C a $${{\mathcal {V}}}$$ V -enriched $$\infty $$ ∞ -precategory. We construct an equivalence $$\begin{aligned} \text {Fun}_{\text {Hin}}^{{\mathcal {V}}}({{\mathcal {C}}},{{\mathcal {D}}}) \simeq \text {Fun}^{{\mathcal {V}}}({{\mathcal {C}}},{{\mathcal {D}}}) \end{aligned}$$ Fun Hin V ( C , D ) ≃ Fun V ( C , D ) of $$\infty $$ ∞ -categories weakly right tensored over $${{\mathcal {W}}}$$ W between Hinich’s construction of $${{\mathcal {V}}}$$ V -enriched functors of Hinich (Adv Math 367:107129, 2020) and our construction of $${{\mathcal {V}}}$$ V -enriched functors of Heine (Adv Math 417:108941, 2023).
Source: Applied Categorical Structures
Author: Hadrian Heine
Institution: University of Oslo
Language: English
Subfield: Mathematical Physics
Field: Mathematics
Domain: Physical Sciences
Open Access status: hybrid
Estimated APC paid: $3,090
OpenAlex ID: W4404716453