3 papers
math.CT2026
On the Cartesian closedness of [0,1]-Cat and some of its subcategories
Hongliang Lai, Qingzhu Luo
We describe all left continuous triangular norms for which the category [0,1]-Cat of real-enriched categories and functors is cartesian closed. We furthermore show that the cartesi…
math.FA2026
Triangle functions generated by products of quantales
Hongliang Lai, Qingzhu Luo
This paper investigates triangle functions induced by tensor products of triangular norms and conorms. For any left continuous t-norm on and any right continuous t-cono…
math.CT2024
Cartesian closed and stable subconstructs of [0,1]-Cat
Hongliang Lai, Qingzhu Luo
Let be a continuous triangular norm on the unit interval and be a cartesian closed and stable subconstruct of the category consisting of all real-enriched…