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math.AG2021
On definable open continuous mappings
Si Tiep Dinh, Tien Son Pham
For a definable continuous mapping from a definable connected open subset of into we show that the following statements are equivalent: (i) The…
math.AG2021
Some variational properties of tangent directions at infinity of real algebraic sets
Si Tiep Dinh, Tien Son Pham
In this paper, we relate the set of asymptotic critical values of a polynomial function with the set of discontinuity of two functions, the multivalued function which associate…
math.AG2021
Nichtnegativstellensätze for definable functions in o-minimal structures
Si Tiep Dinh, Tien Son Pham
This paper addresses to Nichtnegativstellensätze for definable functions in o-minimal structures on Namely, let $f, g_1, \ldots, g_l \colon \mathbb{R}^n \…