Observations on Irreducible Sets and Sober Spaces

CHEN Dong-li, ZHANG Yan

doi:10.13371/j.cnki.chin.q.j.m.2014.04.003

Chinese Quarterly Journal of Mathematics >

2014 , Vol. 29 >Issue 4: 501 - 504

DOI: https://doi.org/10.13371/j.cnki.chin.q.j.m.2014.04.003

Observations on Irreducible Sets and Sober Spaces

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1. School of Science, Xi'an University of Architecture and Technology2. Huaqing College, Xi'an University of Architecture and Technology

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.

Received date: 2012-11-26

Online published: 2020-11-25

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

Cite this article

CHEN Dong-li, ZHANG Yan . Observations on Irreducible Sets and Sober Spaces[J]. Chinese Quarterly Journal of Mathematics, 2014 , 29(4) : 501 -504 . DOI: 10.13371/j.cnki.chin.q.j.m.2014.04.003

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