4 citations · 5 across the 3 of their papers we have counts for
4 papers
Strictly convergent analytic structures
Raf Cluckers, Leonard Lipshitz
We give conclusive answers to some questions about definability in analytic languages that arose shortly after the work by Denef and van den Dries, [DD], on -adic subanalytic se…
Fields with Analytic Structure
Raf Cluckers, Leonard Lipshitz
We present a unifying theory of fields with certain classes of analytic functions, called fields with analytic structure. Both real closed fields and Henselian valued fields are co…
Real closed fields with nonstandard and standard analytic structure
Raf Cluckers, Leonard Lipshitz, Zachary Robinson
We consider the ordered field which is the completion of the Puiseux series field over \bR equipped with a ring of analytic functions on [-1,1]^n which contains the standard subana…
Analytic cell decomposition and analytic motivic integration
R. Cluckers, L. Lipshitz, Z. Robinson
The main results of this paper are a Cell Decomposition Theorem for Henselian valued fields with analytic structure in an analytic Denef-Pas language, and its application to analyt…