Shelah, Saharon
Published in
Forum Mathematicum
For many classes of models, there are universal members in any cardinal λ which “essentially satisfies GCH, i.e., λ = 2 |T|). But if the class is “complicated enough”, e.g., the class of linear orders, we know that if λ is “regular and not so close to satisfying GCH”, then there is no universal member. Here, we find new sufficient conditions (which...
Wagner, Frank Olaf
A bounded automorphism of a field or a group with trivial approximate centre is definable. In an expansion of a field by a Pfaffian family F of additive endomorphisms such that algebraic closure in the expansion coincides with relative field-algebraic closure of the F-substructure generated, a bounded endomorphism, possibly composed with a power of...
Turab, Ali Rosli, Norhayati Ali, Wajahat Nieto, Juan J.
Published in
Demonstratio Mathematica
The paradigm of choice practice represents the psychological theory of learning in the development of moral judgment. It is concerned with evaluating the implications of several choices and selecting one of them to implement. The goal of this work is to provide a generic functional equation to observe the behavior of animals in such circumstances. ...
YONEDA, IKUO
We give an explicit proof of Fact 2.2.2 in [CF]. And we give basic examples related to (full)/weak/geometric elimination of imaginaries.
YONEDA, IKUO
We discuss H-basis in geometric structures with a dense/codense independent subset, and algebraic n-gons in geometric structures to calculate the ranks of H-structures in trivial/non-trivial independence of base geometric structures.
Turab, Ali
Published in
Analysis
Numerous computational and learning theory models have been studied using probabilistic functional equations. Especially in two-choice scenarios, the vast bulk of animal behavior research divides such situations into two different events. They split these actions into two possibilities according to the animals’ progress toward a particular decision...
YONEDA, IKUO
The smallest algebraically closed set which appears in Poizat's original definition for WEI coincides with algebraic closure of finite real tuple which appears in Pillay's alternative definition for WEI.
Kumar, Vipin Malik, Muslim
Published in
Nonautonomous Dynamical Systems
In this manuscript, we examine the existence, uniqueness and stability results for a coupled fractional dynamical system with impulsive and initial-boundary (IB) conditions on non-uniform time domains by implying the theory of time scales. Firstly, we find the solution of the consider problem, then we examine the existence and stability results. Ma...
Hrushovski, Ehud Krupiński, Krzysztof Pillay, Anand
Published in
Selecta Mathematica
We study amenability of definable groups and topological groups, and prove various results, briefly described below. Among our main technical tools, of interest in its own right, is an elaboration on and strengthening of the Massicot-Wagner version (Massicot and Wagner in J Ec Polytech Math 2:55–63, 2015) of the stabilizer theorem (Hrushovski in J ...
Martin-Pizarro, Amador Palacín, Daniel Wolf, Julia
Published in
Selecta Mathematica
A non-quantitative version of the Freiman–Ruzsa theorem is obtained for finite stable sets with small tripling in arbitrary groups, as well as for (finite) weakly normal subsets in abelian groups.