Spaces l-Dominated by I or R
General Topology
2015-10-20 v1
Abstract
If is compact metrizable and has finite fd-height then the unit interval, , -dominates , in other words, there is a continuous linear map of onto . If the unit interval -dominates a space then is compact metrizable and has countable fd-height. Similar results are given for spaces -dominated by the reals.
Keywords
Cite
@article{arxiv.1510.05589,
title = {Spaces l-Dominated by I or R},
author = {Paul Gartside and Ziqin Feng},
journal= {arXiv preprint arXiv:1510.05589},
year = {2015}
}