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- W4306177572 abstract "In this paper,the concepts of generalized ideal inf-limit and generalized ideal final lower bound limit are introduced in the directed complete poset,and their relations with Scott topology and Lawson topology are studied. The main results are as follows: (1) On directed complete posets,generalized ideal inf-limit topology is consistent with Scott topology; (2) Generalized ideal inf-limiti convergence is topological if and only if directed complete posets are quasi-continuous domains; (3) In quasi-continuous domain,generalized ideal final lower bound limit topology is consistent with Lawson topology;(4) In meet continuous directed complete posets,the generalized ideal final lower bound limit convergence is topological if and only if the directed complete poset is continuous." @default.
- W4306177572 created "2022-10-14" @default.
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- W4306177572 date "2022-10-12" @default.
- W4306177572 modified "2023-09-26" @default.
- W4306177572 title "Generalized ideal convergence on quasi-continuous domains" @default.
- W4306177572 doi "https://doi.org/10.48550/arxiv.2210.05981" @default.
- W4306177572 hasPublicationYear "2022" @default.
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