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关于S-弧连通性
引用本文:陈侠.关于S-弧连通性[J].沈阳航空工业学院学报,2005,22(2):68-70.
作者姓名:陈侠
作者单位:沈阳航空工业学院理学系,辽宁,沈阳,110034
摘    要:针对拓扑中S-弧连通性问题,给出了一些新的结论。在文中,首先给出了半连续等函数一些概念和性质,对弧连通性作了几种推广,给出了几类新的弧连通性,即S-弧连通性;然后,讨论了S-弧连通性的性质及它们与弧连通性的关系。最后,研究了弧连通性中的开SH-弧连通性与SH-连通性的关系,给出了一系列新的结果。

关 键 词:半开集  S-弧连通性  SH-连通性  半拓扑性质
文章编号:1007-1385(2005)02-0068-03
修稿时间:2005年1月19日

Some generalization for the S-Arc connectedness
CHEN Xia.Some generalization for the S-Arc connectedness[J].Journal of Shenyang Institute of Aeronautical Engineering,2005,22(2):68-70.
Authors:CHEN Xia
Abstract:With respect to the S-arc connectedness in topological space, some new conclusions were proposed in this paper .First, Some new arc connectedness were introduced by using semi-continuous functions. Then,some discussion about different aspects of semi-topological property is given, S-arc connectedness and arcwise connectedness was discussed. Finally , some properties for the new arcwise connectedness are discussed and new results are obtained.
Keywords:Semi-open set  S-arc connectedness  SH-connectedness  semi-topological property
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