Z. Jelonek

activity

20122026

most citedQuantitative properties of the non-properness set of a polynomial map

6 citations · 20 across the 22 of their papers we have counts for

collaborators

Showing 2020Show all

5 papers · 1 filter

math.AG2020

A note on the Jacobian Conjecture

Zbigniew Jelonek

Let $F : C^{n} \to C^{n}$ be a polynomial mapping with a non vanishing Jacobian. If the set $S_{F}$ of non-properness of $F$ is smooth, then $F$ is a surjective mapping. Moreover,…

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

math.AG2020

On stable polynomial mappings

Michał Farnik, Zbigniew Jelonek

For given natural numbers $d_{1}, d_{2}$ let $Ω_{2} (d_{1}, d_{2})$ be the set off all polynomial mappings $F = (f, g) : C^{2} \to C^{2}$ such that deg $f \leq d_{1}$ , deg $g \leq d_{2}$ . We say…

math.GT2020

A note on the Jacobian Conjecture

Z. Jelonek, H. Zołądek

We do not know whether the main result is true, the proof of theorem 2.1 contains a gap.

math.GT2020

On the extension of bi-Lipschitz mappings

Lev Birbrair, Alexandre Fernandes, Zbigniew Jelonek

Let $X$ be a closed semialgebraic set of dimension $k .$ If $n \geq 2 k + 1$ , then there is a bi-Lipschitz and semialgebraic embedding of $X$ into $R^{n} .$ Moreover, if $n \geq 2 k + 2$ ,…