Omer Mermelstein

activity

20172021

collaborators

4 papers

math.LO2021

Recursive spectra of flat strongly minimal theories

Uri Andrews, Omer Mermelstein

We show that for a model complete strongly minimal theory whose pregeometry is flat, the recursive spectrum (SRM( $T$ )) is either of the form $[0, α)$ for $α \in ω + 2$ or $[0,n]\cup\{ω…

math.LO2020

The generic flat pregeometry

Omer Mermelstein

We examine the first order structure of pregeometries of structures built via Hrushovski constructions. In particular, we show that the class of flat pregeometries is an amalgamati…

math.LO2019

The closed ordinal Ramsey number $R^{c l} (ω^{2}, 3) = ω^{6}$

Omer Mermelstein

Closed ordinal Ramsey numbers are a topological variant of the classical (ordinal) Ramsey numbers. We compute the exact value of the closed ordinal Ramsey number $R^{cl}(ω^2,3) = ω…

math.LO2017

An ab initio construction of a geometry

Omer Mermelstein

We show that the geometry of Hrushovski's ab initio construction for a single $n$ -ary relation not-permitting dependent sets of size less than $n$ , when restricted to $n$ -tuples, c…

Recursive spectra of flat strongly minimal theories

The generic flat pregeometry

The closed ordinal Ramsey number Rcl(ω2,3)=ω6

An ab initio construction of a geometry

The closed ordinal Ramsey number $R^{c l} (ω^{2}, 3) = ω^{6}$