Skew-closed categories

By Ross Street. 2012

56 citations recorded by the source corpus.

Abstract Spurred by the new examples found by Kornel Szlachanyi of a form of lax monoidal category, the author felt the time ripe to publish a reworking of Eilenberg and Kelly’s original paper on closed categories appropriate to the laxer context. The new examples are connected with bialgebroids. In a separate paper with Stephen Lack, we have also used the concept to give an alternative definition of quantum category and quantum groupoid. Szlachanyi has called the lax notion skew monoidal . This paper defines skew-closed category , proves Yoneda lemmas for categories enriched over such, and looks at closed cocompletion.

Subfields: Algebra and Number Theory, Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/e1a82df359a6b8d642eccf7a2b24d87812c72280