Classification of complete regularities for finite topological spaces

Cheol Woo Baek; Jang Hyun Jo; Yeong Seong Jo

doi:10.1007/s10474-012-0255-y

Classification of complete regularities for finite topological spaces

Cheol Woo Baek, Jang Hyun Jo, Yeong Seong Jo

Department of Mathematics Education

Research output: Contribution to journal › Article › peer-review

Abstract

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

Original language	English
Pages (from-to)	153-157
Number of pages	5
Journal	Acta Mathematica Hungarica
Volume	137
Issue number	3
DOIs	https://doi.org/10.1007/s10474-012-0255-y
State	Published - 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).

Keywords

complete regularity
separate points and closed sets

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10.1007/s10474-012-0255-y

Cite this

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title = "Classification of complete regularities for finite topological spaces",

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

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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).",

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Classification of complete regularities for finite topological spaces

Abstract

Bibliographical note

Keywords

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