Countable quasicontinuous domains are quasialgebraic

2025/10/30 by Xiaoquan Xu, Xu, Xiaoquan · 1 voice
Mathematics · #06B35 #06F30 #54C30 #54F05 #FOS: Mathematics #General Topology (math.GN) #math.GN

paper · pdf · doi:10.48550/arxiv.2510.26522

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.

Discussions

• Xiaoquan Xu: Countable quasicontinuous domains are quasialgebraic https://arxiv.org/abs/2510.26522 https://arxiv.org/pdf/2510.26522 https://arxiv.org/html/2510.26522 [bsky, 0 points, 0 comments]

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