数学季刊 ›› 2014, Vol. 29 ›› Issue (4): 501-504.doi: 10.13371/j.cnki.chin.q.j.m.2014.04.003

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不可约集与Sober空间

  

  1. 1. School of Science, Xi'an University of Architecture and Technology2. Huaqing College, Xi'an University of Architecture and Technology
  • 收稿日期:2012-11-26 出版日期:2014-12-30 发布日期:2020-11-25
  • 作者简介: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.
  • 基金资助:
    Supported by the Natural Science Foundation of Shaanxi Province(2007A12)； Supported by the Scientific Research Foundation of Shaanxi Educational Committee(11JK0507)；

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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摘要： 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. 

关键词: monad, irreducible set, Sober space, discretization

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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