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math.LO2025
Fundamental groups and descriptive set theory
Fanxin Wu
We study the homotopy of loops in a fixed path-connected Polish space from a descriptive set-theoretic viewpoint. We show that many analytic equivalence relations arise this way, a…
math.LO2025
Two-cardinal Kurepa Hypotheses
Fanxin Wu
We consider the two-cardinal Kurepa Hypothesis . We observe that if are infinite cardinals then $\lnot\mathsf{KH}(κ,λ)\land\mathsf{KH}(κ,μ)\rightarrow\…
math.LO2024
Diamond principles and Tukey-top ultrafilters on a countable set
Tom Benhamou, Fanxin Wu
We provide two types of guessing principles for ultrafilter () on which form subclasses of Tukey-top ultrafilters, and construct s…