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arXiv · 2510.26522

Countable quasicontinuous domains are quasialgebraic

Xiaoquan Xu
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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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Xiaoquan Xu. 2025-10-30. Countable quasicontinuous domains are quasialgebraic. https://arxiv.org/abs/2510.26522

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