David Gonzalez

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20242026

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math.LO2026

Recovering a structure from its tree of tuples

David Gonzalez, Matthew Harrison-Trainor, Julia Knight

We show that for each countable ordinal $α$ , there is a $Δ_{α}^{0}$ operator that, for all $A$ of Scott rank at most $α$ , takes copies of $T_{A}$ to copies of $A$ , where $T_{A}$ is…

math.CO2026

Enumerative Combinatorics of Homogeneous Linear Orderings

David Gonzalez

We count the number of countable homogeneous colored linear orderings in $k$ colors. Relatedly, we count the number of countable $C_{n, m}$ -homogeneous linear orderings. $C_{n, m}$ -h…