The Real Jacobian Conjecture for polynomials of degree 3

Janusz Gwoździewicz

Annales Polonici Mathematici (2001)

  • Volume: 76, Issue: 1-2, page 121-125
  • ISSN: 0066-2216

Abstract

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We show that every local polynomial diffeomorphism (f,g) of the real plane such that deg f ≤ 3, deg g ≤ 3 is a global diffeomorphism.

How to cite

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Janusz Gwoździewicz. "The Real Jacobian Conjecture for polynomials of degree 3." Annales Polonici Mathematici 76.1-2 (2001): 121-125. <http://eudml.org/doc/280148>.

@article{JanuszGwoździewicz2001,
abstract = {We show that every local polynomial diffeomorphism (f,g) of the real plane such that deg f ≤ 3, deg g ≤ 3 is a global diffeomorphism.},
author = {Janusz Gwoździewicz},
journal = {Annales Polonici Mathematici},
keywords = {real Jacobian conjecture; real polynomial mapping; Pinchuk's mapping},
language = {eng},
number = {1-2},
pages = {121-125},
title = {The Real Jacobian Conjecture for polynomials of degree 3},
url = {http://eudml.org/doc/280148},
volume = {76},
year = {2001},
}

TY - JOUR
AU - Janusz Gwoździewicz
TI - The Real Jacobian Conjecture for polynomials of degree 3
JO - Annales Polonici Mathematici
PY - 2001
VL - 76
IS - 1-2
SP - 121
EP - 125
AB - We show that every local polynomial diffeomorphism (f,g) of the real plane such that deg f ≤ 3, deg g ≤ 3 is a global diffeomorphism.
LA - eng
KW - real Jacobian conjecture; real polynomial mapping; Pinchuk's mapping
UR - http://eudml.org/doc/280148
ER -

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