3 papers
math.LO2026
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…
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 -maximal eventually different families of functions from the set of natural numbers into itself where is an arbitrary ideal on the set of natural…