Lili Shen

collaborators

3 papers

math.CT2025

Cartesian closedness of the category of real-valued sets, I

Lili Shen, Jian Zhang

Let $[0, 1]_{*}$ be the unit interval $[0, 1]$ equipped with a continuous t-norm $*$ . It is shown that the category of $[0, 1]_{*}$ -sets is cartesian closed if, and only if, $*$ is the mi…

math.CT2025

$Q - Set$ is not generally a topos

Xiao Hu, Lili Shen

For a commutative, unital and divisible quantale $Q$ , it is shown that the category of $Q$ -sets is a topos if, and only if, $Q$ is a frame.

math.GN2024

On the probabilistic metrizability of approach spaces

Hongliang Lai, Lili Shen, Junche Yu

We investigate approach spaces generated by probabilistic metric spaces with respect to a continuous t-norm $*$ on the unit interval $[0, 1]$ . Let $k^{*}$ be the supremum of the idemp…

Cartesian closedness of the category of real-valued sets, I

Q-Set is not generally a topos

On the probabilistic metrizability of approach spaces

$Q - Set$ is not generally a topos