3 papers
math.AP2021
The mountain pass theorem in terms of tangencies
Si Tiep Dinh, Tien Son Pham
This paper addresses the Mountain Pass Theorem for locally Lipschitz functions on finite-dimensional vector spaces in terms of tangencies. Namely, let $f \colon \mathbb R^n \to \ma…
math.AG2020
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…
math.AG2019
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)…