BOURKE, John Denis. Skew structures in 2-category theory and homotopy theory. Journal of Homotopy and Related Structures. HEIDELBERG: Springer HEIDELBERG, vol. 12, No 1, p. 31-81. ISSN 2193-8407. doi:10.1007/s40062-015-0121-z. 2017.
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Basic information
Original name Skew structures in 2-category theory and homotopy theory
Authors BOURKE, John Denis (372 Ireland, guarantor, belonging to the institution).
Edition Journal of Homotopy and Related Structures, HEIDELBERG, Springer HEIDELBERG, 2017, 2193-8407.
Other information
Original language English
Type of outcome Article in a journal
Field of Study 10101 Pure mathematics
Country of publisher Germany
Confidentiality degree is not subject to a state or trade secret
WWW URL
Impact factor Impact factor: 0.462
RIV identification code RIV/00216224:14310/17:00095833
Organization unit Faculty of Science
Doi http://dx.doi.org/10.1007/s40062-015-0121-z
UT WoS 000401575900003
Keywords in English Skew monoidal category; Quillen model category; 2-category
Tags AKR, NZ, rivok
Tags International impact, Reviewed
Changed by Changed by: Ing. Nicole Zrilić, učo 240776. Changed: 11/4/2018 22:22.
Abstract
We study Quillen model categories equipped with a monoidal skew closed structure that descends to a genuine monoidal closed structure on the homotopy category. Our examples are 2-categorical and include permutative categories and bicategories. Using the skew framework, we adapt Eilenberg and Kelly’s theorem relating monoidal and closed structure to the homotopical setting. This is applied to the construction of monoidal bicategories arising from the pseudo-commutative 2-monads of Hyland and Power.
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