English

Closed categories, star-autonomy, and monoidal comonads

Category Theory 2010-03-03 v1

Abstract

This paper determines what structure is needed for internal homs in a monoidal category C to be liftable to the category C^G of Eilenberg-Moore coalgebras for a monoidal comonad G on C. We apply this to lift star-autonomy with the view to recasting the definition of quantum groupoid.

Keywords

Cite

@article{arxiv.0712.0418,
  title  = {Closed categories, star-autonomy, and monoidal comonads},
  author = {Craig Pastro and Ross Street},
  journal= {arXiv preprint arXiv:0712.0418},
  year   = {2010}
}

Comments

25 pages

R2 v1 2026-06-21T09:50:04.601Z