summary:Necessary and sufficient conditions in terms of lower cut sets are given for the insertion of a Baire-$.5$ function between two comparable real-valued functions on the topological spaces that $F_{\sigma }$-kernel of sets are $F_{\sigma }$-sets
AbstractThe paper consists of two sections. Section 1 is the introduction which, in addition to the ...
summary:We prove that any Baire-one usco-bounded function from a metric space to a closed convex sub...
Abstract. Let X be a topological space and E(X, R) be a subset of R X with the following properties:...
summary:Necessary and sufficient conditions in terms of lower cut sets are given for the insertion o...
Necessary and sufficient conditions in terms of lower cut sets are given for the insertion of a Bair...
Enough condition in terms of lower cut sets are given for the strong insertion of a contra-continuou...
Abstract Necessary and sufficient conditions in terms of lower cut sets are given for the strong ins...
A necessary and sufficient condition in terms of lower cut sets are given for the insertion of a c...
In this final project we discuss about Baire-1 functions on topological spaces. A real-valued functi...
A topological space $X$ is Baire if the intersection of any sequence of open dense subsets of $X$ is...
Abstract In this paper, we give alternative proofs of some of the properties of Baire-1 functions wi...
Abstract. We provide new proofs for the classical insertion theorems of Dowker and Michael. The proo...
The roots of Borel sets go back to the work of Baire [8]. He was trying to come to grips with the ab...
summary:Let $\Cal H$ be a simplicial function space on a metric compact space $X$. Then the Choquet ...
summary:A simple machinery is developed for the preservation of Baire spaces under preimages. Subseq...
AbstractThe paper consists of two sections. Section 1 is the introduction which, in addition to the ...
summary:We prove that any Baire-one usco-bounded function from a metric space to a closed convex sub...
Abstract. Let X be a topological space and E(X, R) be a subset of R X with the following properties:...
summary:Necessary and sufficient conditions in terms of lower cut sets are given for the insertion o...
Necessary and sufficient conditions in terms of lower cut sets are given for the insertion of a Bair...
Enough condition in terms of lower cut sets are given for the strong insertion of a contra-continuou...
Abstract Necessary and sufficient conditions in terms of lower cut sets are given for the strong ins...
A necessary and sufficient condition in terms of lower cut sets are given for the insertion of a c...
In this final project we discuss about Baire-1 functions on topological spaces. A real-valued functi...
A topological space $X$ is Baire if the intersection of any sequence of open dense subsets of $X$ is...
Abstract In this paper, we give alternative proofs of some of the properties of Baire-1 functions wi...
Abstract. We provide new proofs for the classical insertion theorems of Dowker and Michael. The proo...
The roots of Borel sets go back to the work of Baire [8]. He was trying to come to grips with the ab...
summary:Let $\Cal H$ be a simplicial function space on a metric compact space $X$. Then the Choquet ...
summary:A simple machinery is developed for the preservation of Baire spaces under preimages. Subseq...
AbstractThe paper consists of two sections. Section 1 is the introduction which, in addition to the ...
summary:We prove that any Baire-one usco-bounded function from a metric space to a closed convex sub...
Abstract. Let X be a topological space and E(X, R) be a subset of R X with the following properties:...