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

Access to Document

10.1023/A:1024247613677

Cite this

@article{2110f1bc30274e9e9341f611933b9c81,

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.",

keywords = "Dinatural transformation, Dual, Enriched category, Gray monoid",

author = "Ross Street",

year = "2003",

month = jun,

doi = "10.1023/A:1024247613677",

language = "English",

volume = "11",

pages = "219--227",

journal = "Applied Categorical Structures",

issn = "0927-2852",

publisher = "Springer, Springer Nature",

number = "3",

}

TY - JOUR

T1 - Functorial calculus in monoidal bicategories

AU - Street, Ross

PY - 2003/6

Y1 - 2003/6

N2 - 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.

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

UR - https://www.scopus.com/pages/publications/0038115116

U2 - 10.1023/A:1024247613677

DO - 10.1023/A:1024247613677

M3 - Article

AN - SCOPUS:0038115116

SN - 0927-2852

VL - 11

SP - 219

EP - 227

JO - Applied Categorical Structures

JF - Applied Categorical Structures

IS - 3

ER -

Functorial calculus in monoidal bicategories

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this