PreprintCC BY 4.0arXiv
Uniformization of topological MV-algebras
Abstract
In this paper, we prove that for every topological MV-algebra the topology is induced by a uniformity. As a application, we obtain that every topological MV-algebra is completely regular and every T0 first countable topological MV-algebra is metrizable.
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BibTeX
@misc{xie2026uniformization,
title = {{Uniformization of topological MV-algebras}},
author = {Li-Hong Xie and Jiang Yang},
howpublished = {arXiv},
year = {2026},
month = nov,
doi = {10.48550/arxiv.2611.01779},
eprint = {2611.01779},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2611.01779},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Uniformization of topological MV-algebras
AU - Li-Hong Xie
AU - Jiang Yang
PY - 2026
DA - 2026/11/01
PB - arXiv
DO - 10.48550/arxiv.2611.01779
UR - https://arxiv.org/abs/2611.01779
AB - In this paper, we prove that for every topological MV-algebra the topology is induced by a uniformity. As a application, we obtain that every topological MV-algebra is completely regular and every T_0 first countable topological MV-algebra is metrizable.
ER -