Jintao Luo

activity

20242026

collaborators

5 papers

math.LO2026

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 $J$ -MED families…

math.LO2026

Strong Topological Rokhlin Property: Finite-Index Ascent, Descriptive Complexity, and Effective Obstructions

Jintao Luo

We give a finite symbolic characterization of the strong topological Rokhlin property in terms of globally realizable finite pattern systems. We use this characterization to prove…

math.LO2026

Ramsey Property and Pathological Sets: Almost Disjointness, Independence and Other Maximal Objects

Jialiang He, Jintao Luo, Shuguo Zhang

We show that under $ZF + CC_{R}$ , if the Ramsey property holds for all sets in a good pointclass $Γ$ , then there is no MAD family in $Γ$ , proving a long-s…

math.LO2025

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…

math.LO2024

Maximal eventually different families for uniformly weak Ramsey ideals

Jialiang He, Jintao Luo, David Schrittesser +1

We study $I$ -maximal eventually different families of functions from the set of natural numbers into itself where $I$ is an arbitrary ideal on the set of natural…