Corpus ID: 119178389

Multivariable adjunctions and mates

@article{Cheng2012MultivariableAA,
  title={Multivariable adjunctions and mates},
  author={E. Cheng and N. Gurski and E. Riehl},
  journal={arXiv: Category Theory},
  year={2012}
}
  • E. Cheng, N. Gurski, E. Riehl
  • Published 2012
  • Mathematics
  • arXiv: Category Theory
  • We present the notion of "cyclic double multicategory", as a structure in which to organise multivariable adjunctions and mates. The classic example of a 2-variable adjunction is the hom/tensor/cotensor trio of functors; we generalise this situation to n+1 functors of n variables. Furthermore, we generalise the mates correspondence, which enables us to pass between natural transformations involving left adjoints to those involving right adjoints. While the standard mates correspondence is… CONTINUE READING
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