Aristotelis Panagiotopoulos

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math.LO2024

Quasi-invariant measures concentrating on countable structures

Clinton Conley, Colin Jahel, Aristotelis Panagiotopoulos

Countable $L$ -structures $N$ whose isomorphism class supports a permutation invariant probability measure in the logic action have been characterized by Ackerma…

math.LO2024

The class and dynamics of $α$ -balanced Polish groups

Shaun Allison, Aristotelis Panagiotopoulos

For each ordinal $α < ω_{1}$ , we introduce the class of $α$ -balanced Polish groups. These classes form a hierarchy that completely stratifies the space between the class of Polish grou…

math.LO2018

A combinatorial model for the Menger curve

Aristotelis Panagiotopoulos, Slawomir Solecki

We represent the universal Menger curve as the topological realization $∣ M ∣$ of the projective Fraïssé limit $M$ of the class of all finite connected graphs. We…

Quasi-invariant measures concentrating on countable structures

The class and dynamics of α-balanced Polish groups

A combinatorial model for the Menger curve

The class and dynamics of $α$ -balanced Polish groups