S. Braunfeld

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math.LO2025

Labelled growth rates of $I ¨ $ -categorical structures and applications in choiceless set theory

Bertalan Bodor, Samuel Braunfeld, James E. Hanson

We study the labelled growth rate of an $I ¨ $ -categorical structure $A$ , i.e., the number of orbits of $A u t (A)$ on $n$ -tuples of distinct elements, and show th…

math.LO2024

Omega-categorical limits of betweenness relations and $D$ -sets

Asma Ibrahim Almazaydeh, Samuel Braunfeld, Dugald Macpherson

We explore two constructions of oligomorphic Jordan permutation groups preserving a `limit of betweenness relations' and a `limit of $D$ -relations', from \cite{bhattmacph2006jordan…

Labelled growth rates of I¨-categorical structures and applications in choiceless set theory

Omega-categorical limits of betweenness relations and D-sets

Labelled growth rates of $I ¨ $ -categorical structures and applications in choiceless set theory

Omega-categorical limits of betweenness relations and $D$ -sets