1 citations · 2 across the 9 of their papers we have counts for
11 papers
A Note on Edge Colorings and Trees
Adi Jarden, Ziv Shami
We point out some connections between existence of homogenous sets for certain edge colorings and existence of branches in certain trees. As a consequence, we get that any locally…
A note on the NFI-topology
Ziv Shami
The -topology, introduced in [S0], is a topology on the Stone space of a theory that depends on a reduct of . This topology has been used in [S0] to describe the…
On the forking topology of a reduct of a simple theory
Ziv Shami
Let be simple and a reduct of . For variables , we call an -invariant set of with the property that for every formula …
Supersimplicity and countable reducts of a unidimensional hypersimple theory
Ziv Shami
We show that a hypersimple unidimensional theory that has a club of reducts, in the partial order of all countable reducts, that are coordinatized in finite rank, is supersimple.
Definability and continuity of the SU-rank in unidimensional supersimple theories
Ziv Shami
We prove, in particular, that in a supersimple unidimensional theory the -rank is continuous and the -rank is definable.
On special partial types and weak canonical bases in simple theories
Ziv Shami
We define a notion of a weak canonical base for a partial type. This notion is weaker than the usual canonical base for an amalgamation base. We prove that certain family of partia…