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On involutive monoidal categories
Theory and applications of categories, Tome 25 (2011), pp. 368-393 Cet article a éte moissonné depuis la source Theory and Applications of Categories website

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In this paper, we consider a non-posetal analogue of the notion of involutive quantale; specifically, a (planar) monoidal category equipped with a covariant involution that reverses the order of tensoring. We study the coherence issues that inevitably result when passing from posets to categories; we also link our subject with other notions already in the literature, such as balanced monoidal categories and dagger pivotal categories.

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Classification : 18D10, 18D15
Keywords: involutive monoidal categories, dagger pivotal categories, braidings, balances, coherence theorems 
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     author = {J.M. Egger},
     title = {On involutive monoidal categories},
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     volume = {25},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/TAC_2011_25_a13/}
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J.M. Egger. On involutive monoidal categories. Theory and applications of categories, Tome 25 (2011), pp. 368-393. http://geodesic.mathdoc.fr/item/TAC_2011_25_a13/