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math.LO2026
Universal minimal flows of homeomorphism groups of continua
Sumun Iyer
We define a combinatorial property of a projective Fraisse category which we call the \emph{approximate Ramsey property}. Let be a continuum, a closed subgroup of the homeo…
math.LO2024
Asymptotic dimension and hyperfiniteness of generic Cantor actions
Sumun Iyer, Forte Shinko
We show that for a countable discrete group which is locally of finite asymptotic dimension, the generic continuous action on Cantor space has hyperfinite orbit equivalence relatio…