On Weakly Coholographic Structures
Bazhenov N.A. Kasymkhanuly B. Morozov A.S.
May 2025Pleiades Publishing
Siberian Mathematical Journal
2025#66Issue 3641 - 649 pp.
We introduce and study the notion of weak coholographicity, which generalizes the concept of holographicity and is, in a certain sense, dual to the notion of weak holographicity.We describe weakly coholographic fields and abelian groups, and prove that all ordinals, equivalence relations, and countable Boolean algebras are weakly coholographic.A complete picture is given of the relationships among the properties of holographicity, weak holographicity, weak coholographicity, and countable categoricity.
510.67 , categorical structure , holographic structure , holographicity , weakly coholographic structure , weakly holographic structure
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Sobolev Institute of Mathematics, Novosibirsk, Russian Federation
Novosibirsk State University, Novosibirsk, Russian Federation
Gumilyov Eurasian National University, Astana, Kazakhstan
Sobolev Institute of Mathematics
Novosibirsk State University
Gumilyov Eurasian National University
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