1 citations · 2 across the 11 of their papers we have counts for
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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…
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…
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 \…
Limits of tangent spaces to definable sets
Si Tiep Dinh, Olivier Le Gal, Tien Son Pham
We study the set of tangent limits at a given point to a set definable in any o-minimal structure by characterizing the set of exceptional rays in the tangent cone to the set at th…
Stability of closedness of semi-algebraic sets under continuous semi-algebraic mappings
Si Tiep Dinh, Zbigniew Jelonek, Tien Son Pham
Given a closed semi-algebraic set and a continuous semi-algebraic mapping it will be shown that there exists an open dense s…
Global Łojasiewicz inequalities on comparing the rate of growth of polynomial functions
Si-Tiep Dinh, Feng Guo, Tien-Son Pham
We present a global version of the Łojasiewicz inequality on comparing the rate of growth of two polynomial functions in the case the mapping defined by these functions is (Newton)…