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@article{1339732, author = {Bourke, John Denis}, article_location = {HEIDELBERG}, article_number = {1}, doi = {http://dx.doi.org/10.1007/s40062-015-0121-z}, keywords = {Skew monoidal category; Quillen model category; 2-category}, language = {eng}, issn = {2193-8407}, journal = {Journal of Homotopy and Related Structures}, title = {Skew structures in 2-category theory and homotopy theory}, url = {http://link.springer.com/article/10.1007%2Fs40062-015-0121-z}, volume = {12}, year = {2017} }
TY - JOUR ID - 1339732 AU - Bourke, John Denis PY - 2017 TI - Skew structures in 2-category theory and homotopy theory JF - Journal of Homotopy and Related Structures VL - 12 IS - 1 SP - 31-81 EP - 31-81 PB - Springer HEIDELBERG SN - 21938407 KW - Skew monoidal category KW - Quillen model category KW - 2-category UR - http://link.springer.com/article/10.1007%2Fs40062-015-0121-z L2 - http://link.springer.com/article/10.1007%2Fs40062-015-0121-z N2 - 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. ER -
BOURKE, John Denis. Skew structures in 2-category theory and homotopy theory. \textit{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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