English

Injective Hulls of Quantale-Enriched Multicategories

Category Theory 2021-06-25 v3

Abstract

In this communication we generalize some recent results of Rump to categories enriched in a commutative quantale V. Using these results, we show that every quantale-enriched multicategory admits an injective hull. Finally, we expose a connection between the Isbell adjunction and the construction of injective hulls for topological spaces made by Banaschewski in 1973.

Cite

@article{arxiv.2006.02978,
  title  = {Injective Hulls of Quantale-Enriched Multicategories},
  author = {Eros Martinelli},
  journal= {arXiv preprint arXiv:2006.02978},
  year   = {2021}
}

Comments

42 pages, Appl Categor Struct (2021)

R2 v1 2026-06-23T16:03:46.109Z