Showing math.LOShow all
2 papers · 1 filter
math.LO2025
Generic groups and the weak amalgamation property
Aleksander Ivanov, Krzysztof Majcher
We consider the logic space of countable (enumerated) groups and show that closed subspaces corresponding to some standard classes of groups have (do not have) generic groups. We a…
math.LO2025
Ramsey property for spaces with bilinear forms
Aleksander Ivanov, Frédéric Jaffrennou
We study the Ramsey property for vector spaces over finite fields with bilinear forms. We prove that symplectic spaces over finite fields do not have the Ramsey property. We also d…