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math.AG2024
A remark on definable equivalence
Anna Valette, Guillaume Valette
We establish that if a submanifold of is definable in some o-minimal structure then any definable submanifold which is $\mathscr{C}^\inft…
math.CA2024
Semialgebraic Calderon-Zygmund theorem on regularization of the distance function
Beata Kocel-Cynk, Wiesław Pawłucki, Anna Valette
We prove that, for any closed semialgebraic subset of and for any positive integer , there exists a Nash function $f:\mathbb{R}^n\setminus W\longrightarrow (0…