On continuous functions on two-dimensional disk which are regular in its interior points
General Topology
2009-10-16 v1 Complex Variables
Functional Analysis
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.
Cite
@article{arxiv.0910.2958,
title = {On continuous functions on two-dimensional disk which are regular in its interior points},
author = {Yevgen Polulyakh},
journal= {arXiv preprint arXiv:0910.2958},
year = {2009}
}
Comments
Latex, 24 pages, 2 figures