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θ-弧连通空间与θ-弧连通

θ - Arcwise Connected Spaces and θ -Arcwise Connected

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【作者】 许兆龙

【Author】 XU Zhao-long (Department of Mathematics and Computer Science, Fuzhou Teachers College, Fuzhou 344000, China)

【机构】 抚州师范专科学校数学与计算机科学系 江西 抚州 344000

【摘要】 由θ-开集理论引入了θ-弧连通空间与θ-弧连通等概念,证明θ-弧连通性是θ-拓朴性质和θ-可积性质,θ-弧连通关系是拓朴空间中的等价关系,推广了弧连通空间及弧连通等概念

【Abstract】 Concepts of θ - arcwise connected spaces and θ - arcwise connected are introduced by θ-open sets theory. It is shown that θ - arcwise connectedness is a θ - topological property and θ - productive property, θ - arcwise connected relation is an equivalence in topological spaces. Concepts of arcwise connected spaces and arcwise connected etc are generalized.

  • 【文献出处】 抚州师专学报 ,Journal of Fuzhou Teachers College , 编辑部邮箱 ,2003年03期
  • 【分类号】O189.11
  • 【被引频次】1
  • 【下载频次】39
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