Cartesian closedness of the category of real-valued sets, I
Category Theory
2026-01-21 v2
Abstract
Let be the unit interval equipped with a continuous t-norm . It is shown that the category of -sets is cartesian closed if, and only if, is the minimum t-norm on .
Cite
@article{arxiv.2510.12108,
title = {Cartesian closedness of the category of real-valued sets, I},
author = {Lili Shen and Jian Zhang},
journal= {arXiv preprint arXiv:2510.12108},
year = {2026}
}
Comments
19 pages, revised version