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math.LO2026
On the global linear Zarankiewicz problem
Pantelis E. Eleftheriou, Aris Papadopoulos
The `global' Zarankiewicz problem for hypergraphs asks for an upper bound on the number of edges of a finite -hypergraph in terms of the number of its vertices, assumi…
math.LO2025
Orthogonality and domination in o-minimal expansions of ordered groups
Pablo Andújar Guerrero, Pantelis E. Eleftheriou, Rosario Mennuni
We analyse domination between invariant types in o-minimal expansions of ordered groups, showing that the domination poset decomposes as the direct product of two posets: the domin…