| 拓扑空间中的连通性 |
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| 作者单位： | 成都理工大学信息管理学院数学系 四川成都610059 |
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| 摘 要： | 介绍了拓扑空间中的局部连通和道路连通,获得了以下结果:实数空间是道路连通的,欧氏平面中的单位圆周是连通的,欧氏平面中所有至少有一个坐标为有理数的点构成的集合是一个连通子集.证明了几个局部道路连通空间的定理和与拓扑空间中的连通性有关的几个定理.
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| 关 键 词： | 拓扑空间 连通 道路连通 局部连通 连通子集 |
About connectedness of topology spaces |
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| Authors: | FENG Cheng |
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| Abstract: | Local connections and pathwise connections of topology spaces are introduced by this paper,and the following results are proved:R spaces is pathwise connection,and unit circle which in euclidean plane is connected.In euclidean plane,a set has more than one rational coordinate,we can say the set is connected subset.At the same time,some propositions about local path connected space and some theorems about connectedness of the topological spaces are proved. |
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| Keywords: | topology spaces connected pathwise connectedness local connectedness connected subset |
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