Maps to ordered topological vector spaces and stratifiable spaces
Maps to ordered topological vector spaces and stratifiable spaces
投稿时间:2017-03-25  最后修改时间:2017-06-07
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英文关键词:Stratifiable spaces  k-semi-stratifiable spaces  Maps to ordered topological vector spaces  Lower (upper) semi-continuity
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Yang Er-Guang 安徽工业大学数理学院 egyang@126.com 
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      In the paper [Monotone countable paracompactness and maps to ordered topological vector spaces, {\it Top. Appl.}, 2014, {\bf 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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