Restricting open surjections
Functional Analysis
2018-03-26 v1 General Topology
Metric Geometry
Abstract
We show that any continuous open surjection from a complete metric space to another metric space can be restricted to a surjection for which the domain has the same density character as the target. This improves a recent result of Aron, Jaramillo and Le Donne.
Cite
@article{arxiv.1803.08744,
title = {Restricting open surjections},
author = {Jesus A. Jaramillo and Enrico Le Donne and Tapio Rajala},
journal= {arXiv preprint arXiv:1803.08744},
year = {2018}
}