1 citations · 3 across the 3 of their papers we have counts for
7 papers
Arc-wise analytic t-stratifications
Pablo Cubides Kovacsics, Immanuel Halupczok
We introduce two new notions of stratifications in valued fields: t-stratifications and arc-wise analytic t-stratifications. We show the existence of arc-wise analytic t-strati…
Definable completeness of -minimal fields and applications
Pablo Cubides Kovacsics, Françoise Delon
We show that every definable nested family of closed and bounded subsets of a -minimal field has non-empty intersection. As an application we answer a question of Darnière a…
Exponential-constructible functions in -minimal structures
Saskia Chambille, Pablo Cubides Kovacsics, Eva Leenknegt
Exponential-constructible functions are an extension of the class of constructible functions. This extension was formulated by Cluckers-Loeser in the context of semi-algebraic and…
A proof of Liouville's theorem via o-minimality
Pablo Cubides Kovacsics
In this short note we give a proof of Liouville's theorem (every bounded entire complex function is constant) following Peterzil and Starchenko's approach to complex analysis via o…
On O-Minimal Expansions of
Pablo Cubides Kovacsics, Françoise Delon
Let be a function definable in an o-minimal expansion of . We show that is eventually linear. In addition, we show that this ho…
A note on clustered cells
Saskia Chambille, Pablo Cubides Kovacsics, Eva Leenknegt
This note contains additions to the paper 'Clustered cell decomposition in P-minimal structures' (arXiv:1612.02683). We discuss a question which was raised in that paper, on the or…