2 papers
math.AG2023
On the density at infinity of definable functions
Dinh Si Tiep, Nhan Nguyen
In this paper, we give a simple proof that the density at infinity of fibers of a definable function is locally Lipschitz outside the set of asymptotic critical values.
math.AG2023
Local quasi-isometries and tangent cones of definable germs
Nhan Nguyen
In this paper, we introduce the notion of local quasi-isometry for metric germs and prove that two definable germs are quasi-isometric if and only if their tangent cones are bi-Lip…