8 citations · 8 across the 7 of their papers we have counts for
9 papers
Van Douwen Families, Productivity and Ultrafilter Maximality
Jialiang He, Jintao Luo, Hang Zhang
We study idealized maximal eventually different families through Van Douwen maximality, productivity, and ultrafilter maximality. We show that Van Douwen -MED families…
Open Problems in Mathematical Logic
George Barmpalias, Su Gao, Jialiang He +8
These open problems were presented in the Problem Sessions held during the Tianyuan Workshop on Definability and Computation, June 22-26, 2026. The problems are organized into sect…
Ramsey Property and Pathological Sets: Almost Disjointness, Independence and Other Maximal Objects
Jialiang He, Jintao Luo, Shuguo Zhang
We show that under , if the Ramsey property holds for all sets in a good pointclass , then there is no MAD family in , proving a long-s…
Ramsey regularity implies no MAD families without uniformization
Jialiang He, Jintao Luo, Shuguo Zhang
We show that if the Ramsey property holds (in a class of sets), then there is no MAD family (in this class, provided it satisfies some modest closure properties), proving a conject…
Open Problems in Computability Theory and Descriptive Set Theory
George Barmpalias, Nikolay Bazhenov, Chi Tat Chong +11
These open problems were presented in the Problem Sessions held during the Tianyuan Workshop on Computability Theory and Descriptive Set Theory, June 16-20, 2025. The problems are…
Maximal eventually different families for uniformly weak Ramsey ideals
Jialiang He, Jintao Luo, David Schrittesser +1
We study -maximal eventually different families of functions from the set of natural numbers into itself where is an arbitrary ideal on the set of natural…
The complexity of classifying continuous t-norms up to isomorphism
Jialiang He, Lili Shen, Yi Zhou
It is shown that the isomorphism relation between continuous t-norms is Borel bireducible with the relation of order isomorphism between linear orders on the set of natural numbers…
Tukey order among ideals
Jialiang He, Michael Hrušák, Diego Rojas-Rebolledo +1
We investigate the Tukey order in the class of ideals of subsets of . We show that no nontrivial ideal is Tukey below a ideal of compact sets. We introduce the…
Towards probabilistic partial metric spaces: Diagonals between distance distributions
Jialiang He, Hongliang Lai, Lili Shen
The quantale of distance distributions is of fundamental importance for understanding probabilistic metric spaces as enriched categories. Motivated by the categorical interpretatio…