Homogeneous continuous images of smaller weight
General Topology
2023-11-01 v1
Abstract
We show that every infinite crowded space can be mapped onto a homogeneous space of countable weight, and that there is a homogeneous space of weight continuum that cannot be mapped onto a homogeneous space of uncountable weight strictly less than continuum.
Cite
@article{arxiv.2310.20359,
title = {Homogeneous continuous images of smaller weight},
author = {István Juhász and Jan van Mill},
journal= {arXiv preprint arXiv:2310.20359},
year = {2023}
}