Adjoint for symmetric cubical categories (On weak cubical categories. III) (Q2870846)

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scientific article; zbMATH DE number 6248591
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Adjoint for symmetric cubical categories (On weak cubical categories. III)
scientific article; zbMATH DE number 6248591

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    21 January 2014
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    weak symmetric cubical category
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    cubical adjunction
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    Adjoint for symmetric cubical categories (On weak cubical categories. III) (English)
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    This paper is concerned with cubical adjunctions in the theory of weak symmetric cubical categories. The adjunctions considered consist of colax functors left adjoint to lax functors. There is a double category of weak symmetric cubical categories in which the arrows are colax and lax functors, and the adjunctions are studied by means of this double category. Limit and colimit preservation properties are also obtained.NEWLINENEWLINEFor Part II see [ibid. 50, No. 4, 242--272 (2009; Zbl 1191.18001)].
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