Zobrazeno 1 - 6
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pro vyhledávání: '"Omer Mermelstein"'
Autor:
Omer Mermelstein, Uri Andrews
Publikováno v:
Proceedings of the American Mathematical Society. 150:381-395
We show that for a model complete strongly minimal theory whose pregeometry is flat, the recursive spectrum (SRM($T$)) is either of the form $[0,\alpha)$ for $\alpha\in \omega+2$ or $[0,n]\cup\{\omega\}$ for $n\in \omega$, or $\{\omega\}$, or contain
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::cb491d0f4a36c93c040e6bcc9514243e
https://doi.org/10.1090/proc/15613
https://doi.org/10.1090/proc/15613
Autor:
Omer Mermelstein, Uri Andrews
Publikováno v:
The Journal of Symbolic Logic. 86:1632-1656
We build a new spectrum of recursive models ( $ \operatorname {\mathrm {SRM}}(T)$ ) of a strongly minimal theory. This theory is non-disintegrated, flat, model complete, and in a language with a finite signature.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::09658889402596e02590b498fef26964
https://doi.org/10.1017/jsl.2021.11
https://doi.org/10.1017/jsl.2021.11
Autor:
Omer Mermelstein
Publikováno v:
Proceedings of the American Mathematical Society. 148:413-419
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 c l ( ω 2 , 3 ) = ω 6 R^{cl}(\omega ^2,3) = \omega ^6 .
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::f26d9c2ed06f0c52a3c08c9d810e6af1
https://doi.org/10.1090/proc/14697
https://doi.org/10.1090/proc/14697
Autor:
Omer Mermelstein
Publikováno v:
Israel Journal of Mathematics. 230:387-407
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::c9420d9818c1d72491d13c574d02959b
https://doi.org/10.1007/s11856-019-1827-0
https://doi.org/10.1007/s11856-019-1827-0
Autor:
Omer Mermelstein
Publikováno v:
Annals of Pure and Applied Logic. 173:103040
Denote Hrushovski's non-collapsed ab initio construction for an n-ary relation by M ≁ and the analogous construction for a symmetric n-ary relation by M ∼ . We show that M ≁ is isomorphic to a proper reduct of M ∼ and vice versa, and that the
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::e15b725b964b3ce986d6f5c7ffb2939d
https://doi.org/10.1016/j.apal.2021.103040
https://doi.org/10.1016/j.apal.2021.103040
Autor:
Omer Mermelstein, Assaf Hasson
Let $\mathbb{M}_n$ denote the structure obtained from Hrushovski's (non collapsed) construction with an n-ary relation and $PG(\mathbb{M}_n)$ its associated pre-geometry. It was shown by Evans and Ferreira that $PG(\mathbb{M}_3)\not\cong PG(\mathbb{M
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::aea3c189a4d7a502cfc492ad789909cb
