Abstract
A necessary and sucient condition in terms of lower cut sets are given for the insertion of a Baire-one function between two comparable real-valued functions on the topological spaces that sets are G sets.
Highlights
A generalized class of closed sets was considered by Maki in 1986 [5]
He investigated the sets that can be represented as union of closed sets and called them V −sets
Results of Katetov [2], [3] concerning binary relations and the concept of an indefinite lower cut set for a realvalued function, which is due to Brooks [1], are used in order to give a necessary and sufficient condition for the insertion of a Baire-one function between two comparable real-valued functions on the topological spaces that Λ−sets are Gδ−sets
Summary
A generalized class of closed sets was considered by Maki in 1986 [5]. He investigated the sets that can be represented as union of closed sets and called them V −sets. For each pair of disjoint Gδ−sets G1, G2, there are two Fσ−sets F1 and F2 such that G1 ⊆ F1, G2 ⊆ F2 and F1 ∩ F2 = ∅ iff X has the weak B1−insertion property for (usB1, lsB1).
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Free) 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
