Order topology and bi-Scott topology on a poset |
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| Authors: | Bin Zhao Kai Yun Wang |
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| Affiliation: | Department of Mathematics, Shaanxi Normal University, Xi＇an 710062, P. R. China |
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| Abstract: | In this paper, some properties of order topology and bi-Scott topology on a poset are obtained. Order-convergence in posets is further studied. Especially, a sufficient and necessary condition for order-convergence to be topological is given for some kind of posets. |
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| Keywords: | Order-convergence order topology bi-Scott topology doubly continuous poset |
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