CORDIS Project
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This project refines the mathematical framework of o-minimality to better understand the geometric properties of definable sets in algebraic and arithmetic contexts. It aims to develop sharper structures that capture finer arithmetic characteristics, enhancing the application of o-minimality in geometry.
O-minimality is a model-theoretic formalism of tame geometry.
Sets that are definable in o-minimal structures enjoy strong finiteness properties, such as the existence of finite stratifications and triangulations.
While drawing inspiration from the classical areas of semialgebraic and subanalytic geometry, o-minimality encompasses a strictly larger range of structures - most notably structures defined using the logarithmic and exponential functions.
In the past 15 years o-minimality has enjoyed…
WEIZMANN INSTITUTE OF SCIENCE
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