Countable quasicontinuous domains are quasialgebraic
Fuente:
arXiv
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| Autor principal: | |
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| Formato: | Preprint |
| Publicado: |
2025
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866908620374933504 |
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| author | Xu, Xiaoquan |
| author_facet | Xu, Xiaoquan |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_26522 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Countable quasicontinuous domains are quasialgebraic Xu, Xiaoquan General Topology 06B35, 06F30, 54C30, 54F05 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. |
| title | Countable quasicontinuous domains are quasialgebraic |
| topic | General Topology 06B35, 06F30, 54C30, 54F05 |
| url | https://arxiv.org/abs/2510.26522 |