13 citations · 49 across the 18 of their papers we have counts for
13 papers · 1 filter
-convex valued fields with tempered exponentiation
Yimu Yin
We continue the effort of grokking the structure of power-bounded -convex valued fields, whose theory is in general referred to as TCVF. In the present paper our focus is on cer…
Approximation by -minimal sets in power-bounded -convex valued fields
Yimu Yin
We show that, for a certain large class of power-bounded -minimal -theories whose field of exponents is infinite-dimensional as a vector space over the ration…
Integration in power-bounded -convex valued fields
Yimu Yin
This is the second installment of a series of papers aimed at developing a theory of Hrushovski-Kazhdan style motivic integration for certain types of nonarchimedean -minimal fi…
Generalized Euler characteristic in power-bounded T-convex valued fields
Yimu Yin
We lay the groundwork in this first installment of a series of papers aimed at developing a theory of Hrushovski-Kazhdan style motivic integration for certain type of non-archimede…
Lipschitz stratifications in power-bounded o-minimal fields
Immanuel Halupczok, Yimu Yin
We propose to grok Lipschitz stratifications from a non-archimedean point of view and thereby show that they exist for closed definable sets in any power-bounded o-minimal structur…
Additive invariants in o-minimal valued fields
Yimu Yin
We develop a theory of Hrushovski-Kazhdan style motivic integration for certain type of non-archimedean o-minimal fields, namely polynomial-bounded T-convex valued fields. The stru…