Solutions to two problems of J.D. Lawson and M. Mislove

Solutions to two problems of J.D. Lawson and M. Mislove
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DOI:
10.1016/0166-8641(95)00083-6
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发表时间:
1996-04
影响因子:
0.6
通讯作者:
Ying-ming Liu;Jihua Liang
Ying-ming Liu;Jihua Liang
中科院分区:
数学4区
文献类型:
--
作者:
Ying-ming Liu;Jihua Liang

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解决了表征那些 L 的问题,其中 [X → L] 是所有核心紧致空间的连续 DCPO。此外,还解决了[X→L]上Isbell拓扑与Scott拓扑的重合问题。
The problem of characterizing those L for which [X → L] is a continuous DCPO for all core compact spaces is solved. Also, the problem of coincidence of the Isbell topology with the Scott topology on [X → L] is solved.