Baire Sets, Borel Sets and Some Typical Semi-Continuous Functions
- 1 June 1954
- journal article
- research article
- Published by Cambridge University Press (CUP) in Nagoya Mathematical Journal
- Vol. 7, 85-93
- https://doi.org/10.1017/s0027763000018079
Abstract
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.Keywords
This publication has 3 references indexed in Scilit:
- Some characterizations of normal and perfectly normal spacesDuke Mathematical Journal, 1952
- On Real-Valued Functions in Topological SpacesFundamenta Mathematicae, 1951
- On Countably Paracompact SpacesCanadian Journal of Mathematics, 1951