Polycategories via pseudo-distributive laws

Richard Garner

doi:10.1016/j.aim.2008.02.001

Polycategories via pseudo-distributive laws

Richard Garner^*

^*Corresponding author for this work

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

7 Citations (Scopus)

Abstract

In this paper, we give a novel abstract description of Szabo's polycategories. We use the theory of double clubs - a generalisation of Kelly's theory of clubs to 'pseudo' (or 'weak') double categories - to construct a pseudo-distributive law of the free symmetric strict monoidal category pseudocomonad on Mod over itself qua pseudomonad, and show that monads in the 'two-sided Kleisli bicategory' of this pseudo-distributive law are precisely symmetric polycategories.

Original language	English
Pages (from-to)	781-827
Number of pages	47
Journal	Advances in Mathematics
Volume	218
Issue number	3
DOIs	https://doi.org/10.1016/j.aim.2008.02.001
Publication status	Published - 20 Jun 2008
Externally published	Yes

Keywords

Clubs
Polycategory
Pseudo double category
Pseudo-distributive law
Pseudomonad

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10.1016/j.aim.2008.02.001

Cite this

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KW - Polycategory

KW - Pseudo double category

KW - Pseudo-distributive law

KW - Pseudomonad

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Polycategories via pseudo-distributive laws

Abstract

Keywords

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