On involutive monoidal categories

J. M. Egger

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9 Citations (Scopus)
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In this paper, we consider a non-posetal analogue of the notion of involutive quantale [MP92]; 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 [JS91] and dagger pivotal categories [Se109].
Original languageEnglish
Pages (from-to)368-393
Number of pages26
JournalTheory and Applications of Categories
Issue number14
Publication statusPublished - 2011

Bibliographical note

Copyright the Author(s) [2011]. Version archived for private and non-commercial use with the permission of the author/s and according to publisher conditions. For further rights please contact the publisher.


  • Balances
  • Braidings
  • Coherence theorems
  • Dagger pivotal categories
  • Involutive monoidal categories


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