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《Annals of Pure and Applied Logic》2019,170(11):102712
The third author has shown that Shelah's eventual categoricity conjecture holds in universal classes: class of structures closed under isomorphisms, substructures, and unions of chains. We extend this result to the framework of multiuniversal classes. Roughly speaking, these are classes with a closure operator that is essentially algebraic closure (instead of, in the universal case, being essentially definable closure). Along the way, we prove in particular that Galois (orbital) types in multiuniversal classes are determined by their finite restrictions, generalizing a result of the second author. 相似文献
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Juan Souto 《Topology》2005,44(2):459-474
Among other related results we prove that a hyperbolic 3-manifold which admits an exhaustion by nested cores is tame. 相似文献
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Let T be a consistent o-minimal theory extending the theory of densely ordered groups and let be a consistent theory. Then there is a complete theory extending T such that T is an open core of , but every model of interprets a model of . If is NIP, can be chosen to be NIP as well. From this we deduce the existence of an NIP expansion of the real field that has no distal expansion. 相似文献
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Jaime A. Londoño 《随机分析与应用》2013,31(4):809-831
Abstract Stochastic ordinary differential equations may have solutions that explode in finite or infinite time. In this article we design an adaptive numerical scheme that reproduces the explosive behavior. The time step is adapted according to the size of the computed solution in such a way that, under adequate hypotheses, the explosion of the solutions is reproduced. 相似文献
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