Exactly k-to-1 maps: from pathological functions with finitely many discontinuities to well-behaved covering maps
General Topology
2007-05-23 v1
Abstract
Many mathematicians encounter k-to-1 maps only in the study of covering maps. But, of course, k-to-1 maps do not have to be open. This paper touches on covering maps, and simple maps, but concentrates on ordinary k-to-1 functions (both continuous and finitely discontinuous) from one metric continuum to another. New results, old results and ideas for further research are given; and a baker's dozen of questions are raised.
Cite
@article{arxiv.math/9810129,
title = {Exactly k-to-1 maps: from pathological functions with finitely many discontinuities to well-behaved covering maps},
author = {Jo Heath},
journal= {arXiv preprint arXiv:math/9810129},
year = {2007}
}
Comments
14 pages