2 papers
math.LO2026
VC-Density in Divisible Oriented Abelian Groups and Their Pairs
Ebru Nayir, Melissa Ãzsahakyan
We show that the VC-density in certain theories of oriented abelian groups is at most the size of parameter variables, which yields dp-minimality. We further prove that the VC-dens…
math.LO2026
VC-Density in Pairs of Ordered Vector Space
Ayhan Günaydın, Ebru Nayir
We show that the VC-density of any partitioned formula in a pair of ordered vector spaces is bounded above by twice the number of parameter variables. We also show that this bound…