Lili Shen

activity

20242026

most citedOn the probabilistic metrizability of approach spaces

4 citations · 7 across the 6 of their papers we have counts for

collaborators

Showing math.CTShow all

4 papers · 1 filter

math.CT2026

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

Lili Shen, Jian Zhang

Let $[0, 1]_{*}$ be the unit interval $[0, 1]$ equipped with a left-continuous t-norm $*$ . We prove that $[0, 1]_{*} - Set$ is cartesian closed if and only if $*$ is the min…

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★ 2 cited

$Q - Set$ 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.CT2024★ 1 cited

The powerset monad on quantale-valued sets

Lili Shen, Xiaojuan Zhao

For a small involutive quantaloid $Q$ , it is shown that the category of separated complete $Q$ -categories and left adjoint $Q$ -functors is strictly mo…

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

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

Q-Set is not generally a topos

The powerset monad on quantale-valued sets

$Q - Set$ is not generally a topos