Functorial calculus in monoidal bicategories

Ross Street

doi:10.1023/A:1024247613677

Functorial calculus in monoidal bicategories

Ross Street^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

11 Citations (Scopus)

Abstract

Functional calculus in monoidal bicategories was discussed. The calculus of extraordinary natural transformations was extended to a context internal to any autonomous monoidal bicategory. The original calculus was recaptured from the geometry of the monoidal bicategory whose objects are categories enriched in a cocomplete symmetric monoidal category and whose morphisms are modules.

Original language	English
Pages (from-to)	219-227
Number of pages	9
Journal	Applied Categorical Structures
Volume	11
Issue number	3
DOIs	https://doi.org/10.1023/A:1024247613677
Publication status	Published - Jun 2003

Keywords

Dinatural transformation
Dual
Enriched category
Gray monoid

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10.1023/A:1024247613677

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title = "Functorial calculus in monoidal bicategories",

abstract = "Functional calculus in monoidal bicategories was discussed. The calculus of extraordinary natural transformations was extended to a context internal to any autonomous monoidal bicategory. The original calculus was recaptured from the geometry of the monoidal bicategory whose objects are categories enriched in a cocomplete symmetric monoidal category and whose morphisms are modules.",

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AB - Functional calculus in monoidal bicategories was discussed. The calculus of extraordinary natural transformations was extended to a context internal to any autonomous monoidal bicategory. The original calculus was recaptured from the geometry of the monoidal bicategory whose objects are categories enriched in a cocomplete symmetric monoidal category and whose morphisms are modules.

KW - Dinatural transformation

KW - Dual

KW - Enriched category

KW - Gray monoid

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Functorial calculus in monoidal bicategories

Abstract

Keywords

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