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
[1] ENGELKING R. General topology[M]. Warszawa: Polish Scientific Publishers, 1977.
[2] TONG H. Some characterizations of normal and perfectly normal spaces[J]. Duke Mathematical Journal, 1952, 19(2):289-292.
[3] LANE E, NYIKOS P PAN C. Continuous function characterizations of stratifiable spaces[J]. Acta Mathematica Hungarica, 2001, 92(3):219-231.
[4] YAN Pengfei, YANG Erguang. Semi-stratifiable spaces and the insertion of semi-continuous functions[J]. Journal of Mathematical Analysis and Applications, 2007, 328(1):429-437.
[5] LUTZER D J. Semimetrizable and stratifiable spaces[J]. General Topology and its Applications, 1971, 1(1):43-48.
[6] LI Kedian, LIN Shou, SHEN Rongxin. Insertions of k-semi-stratifiable spaces by semi-continuous functions[J]. Studia Scientiarum Mathematicarum Hungarica, 2011, 48(3):320-330.
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