On the t-equivalence relation
General Topology
2023-09-28 v2
Abstract
For a completely regular space , denote by the space of continuous real-valued functions on , with the pointwise convergence topology. In this article we strengthen a theorem of O. Okunev concerning preservation of some topological properties of under homeomorphisms of function spaces . From this result we conclude new theorems similar to results of R. Cauty and W. Marciszewski about preservation of certain dimension-type properties of spaces under continuous open surjections between function spaces .
Cite
@article{arxiv.1207.6699,
title = {On the t-equivalence relation},
author = {Mikolaj Krupski},
journal= {arXiv preprint arXiv:1207.6699},
year = {2023}
}