منابع مشابه
Rigid Subanalytic Sets
Let K be an algebraically closed field endowed with a complete non-archimedean norm. Let f : Y → X be a map of K-affinoid varieties. In this paper we study the analytic structure of the image f(Y ) ⊂ X; such an image is a typical example of a subanalytic set. We show that the subanalytic sets are precisely the D-semianalytic sets, where D is the truncated division function first introduced by D...
متن کاملOn the Normal Cycles of Subanalytic Sets
We present a short proof of the existence of the normal cycle of a compact subanalytic set. The approach is inspired by some old ides of Joseph Fu, uses Morse theoretic techniques and o-minimal topology.
متن کاملOne-Dimensional Fibers of Rigid Subanalytic Sets
Let K be an algebraically closed eld of any characteristic, complete with respect to the non-trivial ultrametric absolute value jj : K ! R +. By R denote the valuation ring of K, and by } its maximal ideal. We work within the class of subanalytic sets deened in L2], but our results here also hold for the strongly subanalytic sets introduced in S] as well as for those subanalytic sets considered...
متن کاملUniform Properties of Rigid Subanalytic Sets
In the context of rigid analytic spaces over a non-Archimedean valued field, a rigid subanalytic set is a Boolean combination of images of rigid analytic maps. We give an analytic quantifier elimination theorem for (complete) algebraically closed valued fields that is independent of the field; in particular, the analytic quantifier elimination is independent of the valued field’s characteristic...
متن کاملComplements of Subanalytic Sets and Existential Formulas for Analytic Functions
We show that the complement of a subanalytic set defined by real analytic functions from any subalgebra closed under differentiation is a subanalytic set defined by the functions from the same subalgebra. This result has an equivalent formulation in logic: Consider an expression built from functions as above using equalities and inequalities as well as existential and universal quantifiers. Suc...
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ژورنال
عنوان ژورنال: Banach Center Publications
سال: 1988
ISSN: 0137-6934,1730-6299
DOI: 10.4064/-20-1-385-395