paper

On continuous functions on two-dimensional disk which are regular in its interior points

arXiv:0910.2958

Abstract

We introduce a class of regular continuous functions on the closed 2-disk and show that each function from this class is topologically conjugate to a linear function defined on a sqare, a closed half-disk or a closed disk.

Latex, 24 pages, 2 figures

On continuous functions on two-dimensional disk which are regular in its interior points · wovepaper