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Scott topologies on meet-continuous domains

Xu, Xiaoquan
arXiv (All) · Papers
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logic
We study Scott products and sobriety of countable meet-continuous domains, meaning meet-continuous dcpos without any additional continuity or least-element assumption. Using the complete-lattice test-family theorem of Xu and Ji, we prove finite-product equality for those domains that are $L$-dcpos,
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