JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2016, Vol. 51 ›› Issue (4): 99-103.doi: 10.6040/j.issn.1671-9352.0.2015.184

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Function characterizations of k-semi-stratifiable spaces

ZHANG Guo-fang1, YANG Er-guang2*   

  1. 1.College of Mathematics, Jilin Normal University, Siping 136000, Jilin, China;
    2. School of Mathematics &
    Physics, Anhui University of Technology, Maanshan 243002, Anhui, China
  • Received:2015-04-23 Online:2016-04-20 Published:2016-04-08

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Abstract: Real-valued functions(continuous or semi-continuous)are useful tools for the characterization of some topological spaces. Many classes of spaces can be characterized with real-valued functions that satisfy certain conditions, such as perfectly normal spaces, stratifiable spaces, etc. We present some new characterizations of k-semi-stratifiable spaces with real-valued functions, one of which generalizes a result in the literature.

Key words: k-semi-stratifiable spaces, semi-continuous functions

CLC Number: 

  • O189
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