Lax monoids, pseudo-operads, and convolution

Brian Day; Ross Street

Lax monoids, pseudo-operads, and convolution

Research output: Chapter in Book/Report/Conference proceeding › Conference proceeding contribution › peer-review

Abstract

The basic concept in this paper is that of lax monoid in a monoidal bicategory. Interpreted in the various duals of the monoidal bicategory of modules enriched over a good base monoidal category, this concept interprets as a weakened kind of monoidal category, weaker than promonoidal and weaker than multicategory. However, the extra freedom enables the construction of numerous convolution structures on categories of base-valued functors.

Original language	English
Title of host publication	Diagrammatic morphisms and applications
Subtitle of host publication	AMS Special Session on Diagrammatic Morphisms in Algebra, Category Theory, and Topology, October 21-22, 2000, San Francisco State University, San Francisco, California
Editors	David E. Radford, Fernando Jose Souza, David N. Yetter
Place of Publication	Providence, RI
Publisher	American Mathematical Society
Pages	75-96
Number of pages	22
ISBN (Print)	0821827944, 9780821827949
Publication status	Published - 2003
Event	Meeting on Diagrammatic Morphisms in Algebra, Category Theory , and Topology held at Fall Western Section Meeting of the American-Mathematical-Society - San Francisco, Canada Duration: 21 Oct 2000 → 22 Oct 2000

Publication series

Name	Contemporary mathematics series
Publisher	American mathematical society
Volume	318
ISSN (Print)	0271-4132

Conference

Conference	Meeting on Diagrammatic Morphisms in Algebra, Category Theory , and Topology held at Fall Western Section Meeting of the American-Mathematical-Society
Country/Territory	Canada
City	San Francisco
Period	21/10/00 → 22/10/00

Keywords

CATEGORIES

Cite this

Day, B., & Street, R. (2003). Lax monoids, pseudo-operads, and convolution. In D. E. Radford, F. J. Souza, & D. N. Yetter (Eds.), Diagrammatic morphisms and applications: AMS Special Session on Diagrammatic Morphisms in Algebra, Category Theory, and Topology, October 21-22, 2000, San Francisco State University, San Francisco, California (pp. 75-96). (Contemporary mathematics series; Vol. 318). American Mathematical Society.

Day, Brian ; Street, Ross. / Lax monoids, pseudo-operads, and convolution. Diagrammatic morphisms and applications: AMS Special Session on Diagrammatic Morphisms in Algebra, Category Theory, and Topology, October 21-22, 2000, San Francisco State University, San Francisco, California. editor / David E. Radford ; Fernando Jose Souza ; David N. Yetter. Providence, RI : American Mathematical Society, 2003. pp. 75-96 (Contemporary mathematics series).

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booktitle = "Diagrammatic morphisms and applications",

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note = "Meeting on Diagrammatic Morphisms in Algebra, Category Theory , and Topology held at Fall Western Section Meeting of the American-Mathematical-Society ; Conference date: 21-10-2000 Through 22-10-2000",

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Day, B & Street, R 2003, Lax monoids, pseudo-operads, and convolution. in DE Radford, FJ Souza & DN Yetter (eds), Diagrammatic morphisms and applications: AMS Special Session on Diagrammatic Morphisms in Algebra, Category Theory, and Topology, October 21-22, 2000, San Francisco State University, San Francisco, California. Contemporary mathematics series, vol. 318, American Mathematical Society, Providence, RI, pp. 75-96, Meeting on Diagrammatic Morphisms in Algebra, Category Theory , and Topology held at Fall Western Section Meeting of the American-Mathematical-Society, San Francisco, Canada, 21/10/00.

Lax monoids, pseudo-operads, and convolution. / Day, Brian; Street, Ross.

Diagrammatic morphisms and applications: AMS Special Session on Diagrammatic Morphisms in Algebra, Category Theory, and Topology, October 21-22, 2000, San Francisco State University, San Francisco, California. ed. / David E. Radford; Fernando Jose Souza; David N. Yetter. Providence, RI : American Mathematical Society, 2003. p. 75-96 (Contemporary mathematics series; Vol. 318).

Research output: Chapter in Book/Report/Conference proceeding › Conference proceeding contribution › peer-review

TY - GEN

T1 - Lax monoids, pseudo-operads, and convolution

AU - Day, Brian

AU - Street, Ross

PY - 2003

Y1 - 2003

N2 - The basic concept in this paper is that of lax monoid in a monoidal bicategory. Interpreted in the various duals of the monoidal bicategory of modules enriched over a good base monoidal category, this concept interprets as a weakened kind of monoidal category, weaker than promonoidal and weaker than multicategory. However, the extra freedom enables the construction of numerous convolution structures on categories of base-valued functors.

AB - The basic concept in this paper is that of lax monoid in a monoidal bicategory. Interpreted in the various duals of the monoidal bicategory of modules enriched over a good base monoidal category, this concept interprets as a weakened kind of monoidal category, weaker than promonoidal and weaker than multicategory. However, the extra freedom enables the construction of numerous convolution structures on categories of base-valued functors.

KW - CATEGORIES

M3 - Conference proceeding contribution

SN - 0821827944

SN - 9780821827949

T3 - Contemporary mathematics series

SP - 75

EP - 96

BT - Diagrammatic morphisms and applications

A2 - Radford, David E.

A2 - Souza, Fernando Jose

A2 - Yetter, David N.

PB - American Mathematical Society

CY - Providence, RI

T2 - Meeting on Diagrammatic Morphisms in Algebra, Category Theory , and Topology held at Fall Western Section Meeting of the American-Mathematical-Society

Y2 - 21 October 2000 through 22 October 2000

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Day B, Street R. Lax monoids, pseudo-operads, and convolution. In Radford DE, Souza FJ, Yetter DN, editors, Diagrammatic morphisms and applications: AMS Special Session on Diagrammatic Morphisms in Algebra, Category Theory, and Topology, October 21-22, 2000, San Francisco State University, San Francisco, California. Providence, RI: American Mathematical Society. 2003. p. 75-96. (Contemporary mathematics series).

Lax monoids, pseudo-operads, and convolution

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Publication series

Conference

Keywords

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