A dichotomy for spaces near dimension zero
General Topology
2023-06-19 v3
Abstract
We prove that the classes of weakly -dimensional and almost -dimensional spaces are disjoint. The result has applications to hereditarily locally connected spaces, -trees, and endpoints of smooth fans.
Cite
@article{arxiv.2304.09380,
title = {A dichotomy for spaces near dimension zero},
author = {David S. Lipham},
journal= {arXiv preprint arXiv:2304.09380},
year = {2023}
}