Classification of complete regularities for finite topological spaces

Cheol Woo Baek, Jang Hyun Jo, Yeong Seong Jo

Research output: Contribution to journalArticlepeer-review


We show that there are exactly five different classes of complete regularity determined by finite topological spaces.

Original languageEnglish
Pages (from-to)153-157
Number of pages5
JournalActa Mathematica Hungarica
Issue number3
StatePublished - Nov 2012

Bibliographical note

Funding Information:
comments and improvements of earlier versions of this paper. And the second author would like to thank S. S. Hong, an Emeritus professor at Sogang University who taught him general topology. This research was supported by Basic Science Research Program through the National Research Foundation of Korea (NRF) funded by the Ministry of Education, Science and Technology (No. 2011-0003147).


  • complete regularity
  • separate points and closed sets


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