Zobrazeno 1 - 10
of 41
pro vyhledávání: '"Dolich, Alfred"'
Autor:
Dolich, Alfred, Goodrick, John
We study the structure of infinite discrete sets D definable in expansions of ordered Abelian groups whose theories are strong and definably complete, with particular emphasis on the set D' comprised of differences between successive elements. In par
Externí odkaz:
http://arxiv.org/abs/2208.06929
Autor:
Dolich, Alfred, Goodrick, John
We obtain some new results on the topology of unary definable sets in densely ordered Abelian groups of burden groups of burden 2. In the special case in which the structure has dp-rank 2, we show that the existence of an infinite definable discrete
Externí odkaz:
http://arxiv.org/abs/2207.08741
We initiate an investigation of structures on the set of real numbers having the property that path components of definable sets are definable. All o\nobreakdash-\hspace{0pt}minimal structures on $(\mathbb{R},<)$ have the property, as do all expansio
Externí odkaz:
http://arxiv.org/abs/2011.14833
Autor:
Dolich, Alfred, Goodrick, John
We characterize all ordered Abelian groups whose first order theory in the language {+,<} is strongly dependent. The main result of this note was obtained independently by Halevi-Hasson and Farr\'e.
Comment: 15 pages
Comment: 15 pages
Externí odkaz:
http://arxiv.org/abs/1707.06344
Autor:
Dolich, Alfred1,2 (AUTHOR), Goodrick, John3 (AUTHOR) jr.goodrick427@uniandes.edu.co
Publikováno v:
Mathematical Logic Quarterly. May2023, Vol. 69 Issue 2, p147-164. 18p.
Autor:
Dolich, Alfred, Goodrick, John
We consider strong expansions of the theory of ordered abelian groups. We show that the assumption of strength has a multitude of desirable consequences for the structure of definable sets in such theories, in particular as relates to definable infin
Externí odkaz:
http://arxiv.org/abs/1511.08274
Autor:
Dolich, Alfred, Goodrick, John
A visceral structure on M is given by a definable base for a uniform topology on its universe in which all basic open sets are infinite and any infinite definable subset X of M has non-empty interior. This context includes o-minimal ordered groups, p
Externí odkaz:
http://arxiv.org/abs/1505.06455
We study the notion of dp-minimality, beginning by providing several essential facts, establishing several equivalent definitions, and comparing dp-minimality to other minimality notions. The rest of the paper is dedicated to examples. We establish v
Externí odkaz:
http://arxiv.org/abs/0910.3189
Publikováno v:
The Journal of Symbolic Logic. 87:1243-1259
We initiate an investigation of structures on the set of real numbers having the property that path components of definable sets are definable. All o-minimal structures on $(\mathbb {R}, have the property, as do all expansions of $(\mathbb {R},+,\cdo
Publikováno v:
The Journal of Symbolic Logic, 2013 Jun 01. 78(2), 369-387.
Externí odkaz:
https://www.jstor.org/stable/43303657