| 关于rectifiable空间中的局部(序列)连通性的几个注记 |
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| 引用本文： | 张静. 关于rectifiable空间中的局部(序列)连通性的几个注记[J]. 高校应用数学学报(A辑), 2017, 32(1) |
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| 作者姓名： | 张静 |
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| 作者单位： | 闽南师范大学数学与统计学院,福建漳州,363000 |
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| 基金项目： | 国家自然科学基金，福建省自然科学基金，2015年福建省中青年教师教育科研项目，闽南师范大学杰出青年科研人才培育计划，山东省自然科学基金 |
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| 摘 要： | 给出连通的rectifiable空间是局部序列连通(或局部连通)的刻画,推广了拓扑群中的相应结果;利用rectifiable空间G中e的局部邻域基给出G是局部连通(或局部序列连通)的刻画;证明了若A是rectifiable空间G中的序列开子集,那么H=A是G的序列开rectifiable子空间.
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| 关 键 词： | rectifiable空间 局部连通空间 局部序列连通空间 对角连通空间 对角序列连通空间 |
Some notes on locally (sequentially) connected rectifiable spaces |
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| ZHANG Jing. Some notes on locally (sequentially) connected rectifiable spaces[J]. Applied Mathematics A Journal of Chinese Universities, 2017, 32(1) |
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| Authors: | ZHANG Jing |
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| Abstract: | In this paper, some characterizations of a locally (sequentially) connected rectifiable space G are given under the condition that G is connected, which improves the corresponding result in topological groups;some characterizations of a locally (sequentially) connected rectifiable space G are given from the point of the local neighborhood base of the element e in G. It is also proved that if A is a sequentially open subset of a rectifiable space G, then H = hAi is a sequentially open rectifiable subspace of G. |
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| Keywords: | rectifiable spaces locally connected spaces locally sequentially connected spaces diagonal connected spaces diagonal sequentially connected spaces |
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