The cluster set structure of Darboux Baire 1 functions
type: Item
instance of: scholarly article
title: The cluster set structure of Darboux Baire 1 functions
zbMATH Open document ID: 0547.26011
DOI: 10.1007/BF01849840
published in: Periodica Mathematica Hungarica
publication date: 1985-01-01T00:00:00Z
review text: In this paper the author characterizes the cluster set structure of Darboux Baire 1 functions. This characterization is formulated in terms of conditions on subsets of the plane, \(R^ 2\), and involves the upper and lower envelopes of the sets. These conditions are necessary and sufficient for a set in \(R^ 2\) to form the cluster set structure of a Darboux Baire 1 function.
Mathematics Subject Classification ID: 26B05
Mathematics Subject Classification ID: 26B35
Mathematics Subject Classification ID: 26A21
Mathematics Subject Classification ID: 26A15
zbMATH DE Number: 3871694
zbMATH Keywords: cluster set structure
zbMATH Keywords: Darboux Baire 1 functions
author: Dan Rinne
MaRDI profile type: Publication
cites work: On Baire 1 selections
cites work: The cluster set structure of real functions
description: scientific article; zbMATH DE number 3871694