Omer Mermelstein

activity

20132021

most citedCalculating the closed ordinal Ramsey number

R^{c l} (ω \cdot 2, 3)^{2}

2 citations · 4 across the 8 of their papers we have counts for

collaborators

9 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★ 1 cited

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

$[0, n] \cup {ω}$ is a spectrum of a non-disintegrated flat strongly minimal model complete theory in a language with finite signature

Uri Andrews, Omer Mermelstein

We build a new spectrum of recursive models (SRM(T)) of a strongly minimal theory. This theory is non-disintegrated, flat, model complete, and in a language with a finite signature…

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…

math.LO2017★ 1 cited

Reducts of Hrushovski's constructions of a higher geometrical arity

Assaf Hasson, Omer Mermelstein

Let $M_{n}$ denote the structure obtained from Hrushovski's (non collapsed) construction with an n-ary relation and $P G (M_{n})$ its associated pre-geometry. It was sh…

math.LO2017★ 2 cited

Calculating the closed ordinal Ramsey number $R^{c l} (ω \cdot 2, 3)^{2}$

Omer Mermelstein

We show that $R^{c l} (ω \cdot 2, 3)^{2}$ is equal to $ω^{3} \cdot 2$ .

math.LO2016

Indifference to symmetry in Hrushovski's ab initio construction

Omer Mermelstein

Denote Hrushovski's non-collapsed ab initio construction for an $n$ -ary relation by $M_{\neq \sim}$ and the analogous construction for a symmetric $n$ -ary relation by $\ma…

math.LO2013

On reducts of Hrushovski's construction - the non-collapsed case

Assaf Hasson, Omer Mermelstein

We show that the rank ω structure obtained by the non-collapsed version of Hrushovski's amalgamation construction has a proper reduct. We show that this reduct is the Fraïssé-Hrush…

Recursive spectra of flat strongly minimal theories

The generic flat pregeometry

[0,n]∪{ω} is a spectrum of a non-disintegrated flat strongly minimal model complete theory in a language with finite signature

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

An ab initio construction of a geometry

Reducts of Hrushovski's constructions of a higher geometrical arity

Calculating the closed ordinal Ramsey number Rcl(ω⋅2,3)2

Indifference to symmetry in Hrushovski's ab initio construction

On reducts of Hrushovski's construction - the non-collapsed case

$[0, n] \cup {ω}$ is a spectrum of a non-disintegrated flat strongly minimal model complete theory in a language with finite signature

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

Calculating the closed ordinal Ramsey number $R^{c l} (ω \cdot 2, 3)^{2}$