Lebesgue Property and $G$-completeness in Generalized Quasi-uniform Spaces
General Topology
2023-11-07 v1
Abstract
This paper extends the Lebesgue property and (weak) -completeness to generalized quasi-uniform spaces. It investigates the connections between completeness, (weak) -completeness, and the Lebesgue property of the product of generalized quasi-uniform spaces with those of the component spaces. It has been observed that the related behaviors differ for the Lebesgue property in contrast to completeness and (weak) -completeness.
Keywords
Cite
@article{arxiv.2311.02325,
title = {Lebesgue Property and $G$-completeness in Generalized Quasi-uniform Spaces},
author = {Sugata Adhya and A. Deb Ray},
journal= {arXiv preprint arXiv:2311.02325},
year = {2023}
}