Maps to Ordered Topological Vector Spaces and Stratifiable Spaces
Received:March 25, 2017  Revised:June 12, 2017
Key Word: stratifiable spaces   $k$-semi-stratifiable spaces   maps to ordered topological vector spaces   lower (upper) semi-continuity  
Fund ProjectL:Supported by the National Natural Science Foundation of China (Grant No.11401262)
Author NameAffiliation
Erguang YANG School of Mathematics & Physics, Anhui University of Technology, Anhui 243032, P. R. China 
Yun XU 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.
Citation:
DOI:10.3770/j.issn:2095-2651.2018.01.007
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