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Baire Sets, Borel Sets and Some Typical Semi-Continuous Functions

Published online by Cambridge University Press:  22 January 2016

Keiô Nagami
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Recently Hing Tong [3], M. Katētov [4] and C. H. Dowker [2] have established two sorts of insertion theorems for semi-continuous functions defined on normal and countably paracompact normal spaces. The purpose of this paper is to give the insertion theorem for some typical semi-continuous functions defined on a T-space. The relations between Baire sets and Borel sets in some topological spaces are also studied.

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 7 , June 1954 , pp. 85 - 93
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1954

References

[ 1 ] Dieudonné, J.: Une généralisation des espaces compacts, Journ. Math. Pures et Appl., 23 (1944), 65–6.Google Scholar
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