Countable quasicontinuous domains are quasialgebraic
General Topology
2025-10-31 v1
Abstract
We prove that every quasicontinuous domain that fails to be quasialgebraic admits the unit interval [0, 1] as its monotone Lawson-continuous image. As a result, every countable quasicontinuous domain is quasialgebraic.
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Cite
@article{arxiv.2510.26522,
title = {Countable quasicontinuous domains are quasialgebraic},
author = {Xiaoquan Xu},
journal= {arXiv preprint arXiv:2510.26522},
year = {2025}
}
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