王金林, 夏璇. Z-连续偏序集P上σZ(P)的Soberity[J]. 南昌航空大学学报(自然科学版), 2001, 15(2): 68-70.
引用本文: 王金林, 夏璇. Z-连续偏序集P上σZ(P)的Soberity[J]. 南昌航空大学学报(自然科学版), 2001, 15(2): 68-70.
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Wang Jinlin, Xia Xuan. (P)’s Soberity on Z-continuous Poset P[J]. Journal of nanchang hangkong university(Natural science edition), 2001, 15(2): 68-70.
Citation: Wang Jinlin, Xia Xuan. (P)’s Soberity on Z-continuous Poset P[J]. Journal of nanchang hangkong university(Natural science edition), 2001, 15(2): 68-70.
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Z-连续偏序集P上σZ(P)的Soberity

(P)’s Soberity on Z-continuous Poset P

    摘要
  • 摘要: Sober空间是介于T0空间与T2空间之间又完全独立于T1空间的一类拓扑空间,本文基于拓扑σZ(P),证明了Z-连续偏序集P上的拓扑σZ(P)当σD(P)≤σ(P)时是Sober空间.

     

    Abstract: Sober space is a topology space between T0 space and T2 space,meanwhile completely isolated to T1 space.Based on the topology σZ,this paper proved that σ(P) is a sober space when σD(P)≤σ(P) on the topology σZ.

     

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