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 $X\subset {\mathbb{R}}^n$ and a continuous semi-algebraic mapping $G:X\to {\mathbb{R}}^m,$ it will be shown that there exists an open dense s…