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

Read more

Summary

Introduction

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).

Results
Conclusion
Full Text
Published version (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