排序方式: 共有36条查询结果,搜索用时 31 毫秒
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Mrio J. Edmundo 《Mathematical Logic Quarterly》2005,51(6):639-641
We show that if G is a definably compact, definably connected definable group defined in an arbitrary o‐minimal structure, then G is divisible. Furthermore, if G is defined in an o‐minimal expansion of a field, k ∈ ? and pk : G → G is the definable map given by pk (x ) = xk for all x ∈ G , then we have |(pk )–1(x )| ≥ kr for all x ∈ G , where r > 0 is the maximal dimension of abelian definable subgroups of G . (© 2005 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim) 相似文献
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Predrag Tanović 《Mathematical Logic Quarterly》2011,57(3):256-260
We prove that every type of finite Cantor‐Bendixson rank over a model of a first‐order theory without the strict order property is definable and has a unique nonforking extension to a global type. © 2011 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim 相似文献
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We study the first-order definable, Diophantine, and algebraic subsets in the set of all ordered sets generating a group or generating a group as a normal subgroup for some relatively free solvable groups. 相似文献
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《Annals of Pure and Applied Logic》2020,171(2):102756
We define and investigate a uniformly locally o-minimal structure of the second kind in this paper. All uniformly locally o-minimal structures of the second kind have local monotonicity, which is a local version of monotonicity theorem of o-minimal structures. We also demonstrate a local definable cell decomposition theorem for definably complete uniformly locally o-minimal structures of the second kind. We define dimension of a definable set and investigate its basic properties when the given structure is a locally o-minimal structure which admits local definable cell decomposition. 相似文献
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S. Barry Cooper 《Mathematical Logic Quarterly》2001,47(1):3-33
A proof is given that 0 ′ (the argest Turing degree containing a computably enumerable set) is definable in the structure of the degrees of unsolvability. This answers a long‐standing question of Kleene and Post, and has a number of corollaries including the definability of the jump operator. 相似文献
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Henning Krause 《Algebras and Representation Theory》2003,6(5):475-499
Given a locally presentable additive category A, we study a class of covariantly finite subcategories which we call definable. A definable subcategory arises from a set of coherent functors F
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on A by taking all objects X in A such that F
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X=0 for all i. We give various characterizations of definable subcategories, demonstrating that all covariantly finite subcategories which arise in practice are of this form. This is based on a filtration of the category of all coherent functors on A. 相似文献
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A. D. Ioffe 《Proceedings of the American Mathematical Society》2008,136(9):3111-3119
We prove three theorems extending Sard's theorem and its infinite dimensional extension due to Smale to set-valued mappings with stratifiable graphs. The very concept of a critical value comes from (nonsmooth) variational analysis and turns out to be perfectly compatible with the natural condition defining ``good' stratifications (e.g., Whitney stratification in the finite dimensional case).
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The sizes of Boolean combinations of subgroups G
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of a finite abelian group depends only on the Boolean expression, the 0-1-sublattice generated by the G
i
, and the size of minimal subquotients from this sublattice. Moreover, they increase, monotonically, with those sizes. 相似文献