| 取值于序拓扑向量空间的映射与层空间 |
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| 引用本文： | 杨二光,许云.取值于序拓扑向量空间的映射与层空间[J].数学研究及应用,2018,38(1):77-84. |
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| 作者姓名： | 杨二光 许云 |
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| 作者单位： | 安徽工业大学数理科学与工程学院, 安徽 马鞍山 243032,安徽工业大学数理科学与工程学院, 安徽 马鞍山 243032 |
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| 基金项目： | 国家自然科学基金 (Grant No.11401262) |
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| 摘 要： | In the paper Monotone countable paracompactness and maps to ordered topological vector spaces, Top. Appl., 2014, 169(3): 51–70], Yamazaki initiated the study on maps with values into ordered topological vector spaces. Characterizations of monotonically countably paracompact spaces and some other spaces in terms of maps to ordered topological vector spaces were obtained. In this paper, following Yamazaki's method, we present some characterizations of stratifiable spaces and k-semi-stratifiable spaces in terms of maps with values into ordered topological vector spaces.
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| 关 键 词： | 层空间 $k$-半层空间 取值于序拓扑向量空间的映射 下(上)半连续性 |
| 收稿时间： | 2017/3/25 0:00:00 |
| 修稿时间： | 2017/6/12 0:00:00 |
Maps to Ordered Topological Vector Spaces and Stratifiable Spaces |
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| Erguang YANG and Yun XU.Maps to Ordered Topological Vector Spaces and Stratifiable Spaces[J].Journal of Mathematical Research with Applications,2018,38(1):77-84. |
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| Authors: | Erguang YANG and Yun XU |
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| Affiliation: | School of Mathematics & Physics, Anhui University of Technology, Anhui 243032, P. R. China and School of Mathematics & Physics, Anhui University of Technology, Anhui 243032, P. R. China |
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| Abstract: | In the paper Monotone countable paracompactness and maps to ordered topological vector spaces, Top. Appl., 2014, 169(3): 51--70], Yamazaki initiated the study on maps with values into ordered topological vector spaces. Characterizations of monotonically countably paracompact spaces and some other spaces in terms of maps to ordered topological vector spaces were obtained. In this paper, following Yamazaki''s method, we present some characterizations of stratifiable spaces and $k$-semi-stratifiable spaces in terms of maps with values into ordered topological vector spaces. |
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| Keywords: | stratifiable spaces $k$-semi-stratifiable spaces maps to ordered topological vector spaces lower (upper) semi-continuity |
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