Chinese Quarterly Journal of Mathematics ›› 2014, Vol. 29 ›› Issue (4): 501-504.doi: 10.13371/j.cnki.chin.q.j.m.2014.04.003

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Observations on Irreducible Sets and Sober Spaces

  

  1. 1. School of Science, Xi'an University of Architecture and Technology2. Huaqing College, Xi'an University of Architecture and Technology
  • Received:2012-11-26 Online:2014-12-30 Published:2020-11-25
  • About author:CHEN Dong-li(1963-), male, Xi'an, Shaanxi, a professor of Xi'an University of Architecture and Technology, M.S.D., engages in nonstandard analysis.
  • Supported by:
    Supported by the Natural Science Foundation of Shaanxi Province(2007A12)； Supported by the Scientific Research Foundation of Shaanxi Educational Committee(11JK0507)；

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Abstract: This paper, using the monads theory in the topological space, gives a new characterization of irreducible sets in the nonstandard enlarged models. Further, the discretization expression of Sober topological spaces is presented. 

Key words: monad, irreducible set, Sober space, discretization

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