ON 1-INDISCERNIBILITY OF E-COMBINATIONS OF ORDERED THEORIES
https://doi.org/10.55452/1998-6688-2021-18-4-26-31
Abstract
In this paper, we investigate properties that are preserved or acquired when combining an arbitrary number of theories or structures. Recently, an interest has been shown in the study of P-combinations (when each structure is distinguished by a separate unary predicate) and E-combinations (when each structure is distinguished by a separate class of equivalence with respect to E). Here we studied the properties of E-combinations of linearly ordered theories. The 1-indiscernibilty and density of a weakly o-minimal E-combination of countably many copies of an almost omega-categorical weakly o-minimal theory in a language that does not contain distinguished constants are established.
Keywords
Supporting agencies: The research has been supported by Program of fundamental researches of Siberian Branch of Russian Academy of sciences No. I.1.1, project No. № 0314-2019-0002, and by Science Committee of Ministry of Education and Science of the Republic of Kazakhstan (Grant No. AP08855544).
About the Author
S. V. Sudoplatov
Novosibirsk State Technical University
Russian Federation
Russian Federation
Sudoplatov Sergey Vladimirovich, Doctor of Physical and Mathematical Sciences, Leading Researcher, Sobolev Institute of Mathematics; Head of Algebra and Mathematical Logic Department
20, K.Marx avenue, Novosibirsk, 630073
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Review
For citations:
Sudoplatov S.V. ON 1-INDISCERNIBILITY OF E-COMBINATIONS OF ORDERED THEORIES. Herald of the Kazakh-British technical university. 2021;18(4):26-31. https://doi.org/10.55452/1998-6688-2021-18-4-26-31
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