Communications of the Korean Mathematical Society (대한수학회논문집)

Korean Mathematical Society (대한수학회)
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FINITE TOPOLOGICAL SPACES AND GRAPHS

  • Chae, Hi-joon (Department of Mathematics Education Hongik University)
  • Received : 2016.01.05
  • Published : 2017.01.31
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Abstract

We define a stratification and a partition of a finite topological space and define a partial order on the partition. Open subsets can be described completely in terms of this partially ordered partition. We associate a directed graph to the partially ordered partition of a finite topological space. This gives a one-to-one correspondence between finite topological spaces and a certain class of directed graphs.

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References

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