A Whitney map onto the Long Arc
General Topology
2015-03-27 v2
Abstract
In a recent paper, Garc\'{\i}a-Velazquez has extended the notion of Whitney map to include maps with non-metrizable codomain and left open the question of whether there is a continuum that admits such a Whitney map. In this paper, we consider two examples of hereditarily indecomposable, chainable continua of weight constructed by Michel Smith; we show that one of them admits a Whitney function onto the long arc and the other admits no Whitney maps at all.
Cite
@article{arxiv.1312.1704,
title = {A Whitney map onto the Long Arc},
author = {Rodrigo Hernández-Gutiérrez},
journal= {arXiv preprint arXiv:1312.1704},
year = {2015}
}