Authors:
Cheol Woo BaekDepartment of Mathematics, Sogang University, Seoul 121-742, Korea

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Jang Hyun JoDepartment of Mathematics, Sogang University, Seoul 121-742, Korea

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Yeong Seong JoDepartment of Mathematics, Sogang University, Seoul 121-742, Korea

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Abstract

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

  • [1] Davis, A. S. 1961 Indexed systems of neighborhoods for general topological spaces Amer. Math. Monthly 68 886893 .

  • [2] Engelking, R. 1989 General Topology, Sigma Series in Pure Mathematics Heldermann Verlag.

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  • [4] Herrlich, H. 1965 Wann sind alle stetigen Abbidungen in Y constant? Math. Z. 90 152154 .

  • [5] Mrówka, S. 1956 On universal spaces Bull. Acad. Polon. Sci. Cl. III. 4 479481.

  • [6] Mrówka, S. 1968 Further results on E-compact spaces. I Acta Math. 120 161185 .

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  • [8] Willard, S. 1970 General Topology Addison-Wesley Publishing Co. Reading, Mass.–London–Don Mills, Ont.

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Acta Mathematica Hungarica
Language English
Size B5
Year of
Foundation
1950
Volumes
per Year
3
Issues
per Year
6
Founder Magyar Tudományos Akadémia  
Founder's
Address
H-1051 Budapest, Hungary, Széchenyi István tér 9.
Publisher Akadémiai Kiadó
Springer Nature Switzerland AG
Publisher's
Address
H-1117 Budapest, Hungary 1516 Budapest, PO Box 245.
CH-6330 Cham, Switzerland Gewerbestrasse 11.
Responsible
Publisher
Chief Executive Officer, Akadémiai Kiadó
ISSN 0236-5294 (Print)
ISSN 1588-2632 (Online)

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