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On a theorem of Iseki

Published online by Cambridge University Press:  18 May 2009

Peter Kessler
Peter Kessler
Affiliation:
University of Craiova, Craiova, Roumania
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The purpose of this paper is to generalize a result of K. Iseki [1]. In his note, Iseki proves that, in a normal space S, for every countable discrete collection ℋ = {H1, H2, …} of sets from S, there exists a countable collection = {U1, U2, …} of mutually disjoint open sets from S such that Hi ⊂ Ui for every i.

Information

Type
Research Article
Information
Glasgow Mathematical Journal , Volume 11 , Issue 2 , July 1970, pp. 110 - 113
Copyright
Copyright © Glasgow Mathematical Journal Trust 1970

References

REFERENCES

1.Iseki, K., A note on normal spaces, Math. Japon. 3 (1953), 45.Google Scholar