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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Supported by National Natural Science Foundation of China (Grant Nos. 10871121, 11001158)
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Zhao, B., Wang, K.Y. Order topology and bi-Scott topology on a poset. Acta. Math. Sin.-English Ser. 27, 2101–2106 (2011). https://doi.org/10.1007/s10114-011-0273-7
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DOI: https://doi.org/10.1007/s10114-011-0273-7