| r序同态与r开集在子拓扑空间中的性质 |
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| 引用本文： | 惠小静.r序同态与r开集在子拓扑空间中的性质[J].延安大学学报(自然科学版),2007,26(2):5-8. |
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| 作者姓名： | 惠小静 |
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| 作者单位： | 延安大学,数学与计算机科学学院,陕西,延安,716000 |
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| 摘 要： | 提出了r不定序同态、r连续序同态、r开序同态并讨论了它们之间的相互关系,得出了LF-r开集在开子空间中仍是LF-r开集,两个LF拓扑空间之间序同态r连续的充要条件等结论。
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| 关 键 词： | LF拓扑空间 LF-r开(闭)集 LF半开集 r序同态 子拓扑空间 |
| 文章编号： | 1004-602X（2007）02-0005-04 |
| 收稿时间： | 2006-08-29 |
| 修稿时间： | 2006年8月29日 |
Properties of Homomorphism and Open Set in Subspace |
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| HUI Xiao-jing.Properties of Homomorphism and Open Set in Subspace[J].Journal of Yan'an University(Natural Science Edition),2007,26(2):5-8. |
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| Authors: | HUI Xiao-jing |
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| Institution: | College of mathematics and computer science, Yanan University, Shaanxi, Yanan 716000 |
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| Abstract: | The present paper proposed indefinite homomorphism, continuous homomorphism, open homomorphism and discussed the relationships among them. A theorem says LF- open set is still LF- open set in open subspace is proved, and the sufficient and necessary condition for homomorphism between two LF topological space being -continuous is obtained. |
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| Keywords: | LF topological space LF-open(closed) set LF semi-open set homomorphism LF subspace |
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