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Weakly o-minimal Structure: Model Theory, Total Order, Algebraic Number, Wilkie's Theorem - Softcover

 
9786131173066: Weakly o-minimal Structure: Model Theory, Total Order, Algebraic Number, Wilkie's Theorem

Inhaltsangabe

Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. In mathematics, specifically the field of model theory, a weakly o-minimal structure is a model theoretic structure whose definable sets in the domain are just finite unions of convex sets. A linearly ordered structure, M, with language L including an ordering relation <, is called weakly o-minimal if every parametrically definable subset of M is a finite union of convex (definable) subsets. A theory is weakly o-minimal if all its models are weakly o-minimal. Note that, in contrast to o-minimality, it is possible for a theory to have models which are weakly o-minimal and to have other models which are not weakly o-minimal.

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Reseña del editor

Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. In mathematics, specifically the field of model theory, a weakly o-minimal structure is a model theoretic structure whose definable sets in the domain are just finite unions of convex sets. A linearly ordered structure, M, with language L including an ordering relation <, is called weakly o-minimal if every parametrically definable subset of M is a finite union of convex (definable) subsets. A theory is weakly o-minimal if all its models are weakly o-minimal. Note that, in contrast to o-minimality, it is possible for a theory to have models which are weakly o-minimal and to have other models which are not weakly o-minimal.

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