Factorization of Bijections onto Ordered Spaces
General Topology
2015-11-11 v1
Abstract
We identify a class of subspaces of ordered spaces for which the following statement holds: If is a continuous bijections of a zero-dimensional space , then can be re-routed via a zero-dimensional subspace of an ordered space that has weight not exceeding that of .
Cite
@article{arxiv.1511.02849,
title = {Factorization of Bijections onto Ordered Spaces},
author = {Raushan Buzyakova and Alex Chigogidze},
journal= {arXiv preprint arXiv:1511.02849},
year = {2015}
}