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Fixed points of Scott continuous self-maps 被引量:2

Fixed points of Scott continuous self-maps
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摘要 In this paper we study the properties of the set consisting of all fixed points of a Scott continuous self-map between domains. All the results give an answer to an open problem posed by Lawson and Mislove in 1990. In this paper we study the properties of the set consisting of all fixed points of a Scott continuous self-map between domains. All the results give an answer to an open problem posed by Lawson and Mislove in 1990.
作者 寇辉 罗懋康
出处 《Science China Mathematics》 SCIE 2001年第11期1433-1438,共6页 中国科学:数学(英文版)
基金 the National Natural Science Foundation of China (Grant. No. 10071053) the SFEM of China and the Project of "Excellent Scholars Crossing Centuries" of the Education Ministry of China.
关键词 Scott continuous map fixed point stable function uniformly commutative map L-DOMAIN FS-domain 斯哥特连续地图;固定的点;稳定的功能;一致地可交换的地图;L 域;FS 域;
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参考文献1

  • 1Chen,Y. X.Stone duality and representation of stable domains[].Computers and Mathematics With Applications.1997

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引证文献2

  • 1伍秀华,李庆国.半连续格的刻画和映射[J].Journal of Mathematical Research and Exposition,2007,27(3):654-658. 被引量:16
  • 2Xiao Yong XI1,2,Yong Ming LI3 1.College of Mathematics and Information Science,Shaanxi Normal University,Shaanxi 710062,P.R.China,2.College of Mathematics Science,Xuzhou Normal University,Jiangsu 221009,P.R.China,3.College of Computer Science,Shaanxi Normal University,Shaanxi 710062,P.R.China.Note about Fixed Points of Scott Continuous Self-Mappings[J].Journal of Mathematical Research and Exposition,2011,31(1):187-190.

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