Exactly k-to-1 maps: from pathological functions with finitely many discontinuities to well-behaved covering maps

Jo Heath

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Exactly k-to-1 maps: from pathological functions with finitely many discontinuities to well-behaved covering maps

Jo Heath

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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.

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Jo Heath. 1998-10-20. Exactly k-to-1 maps: from pathological functions with finitely many discontinuities to well-behaved covering maps. https://arxiv.org/abs/math/9810129

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