Algebrability within the class of Baire 1 functions

It is known that the sets of approximately continuous functions that are discontinuous, of Darboux Baire 1 that are not approximately continuous, and of Baire 1 functions that are not Darboux Baire 1 are strongly c -algebrable. We show that between those classes of functions there are c many strongl...

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Bibliographic Details
Published inLithuanian mathematical journal Vol. 55; no. 3; pp. 393 - 401
Main Authors Lindner, Sebastian, Terepeta, Małgorzata
Format Journal Article
LanguageEnglish
Published New York Springer US 08.08.2015
Subjects
Actuarial Sciences
Mathematics
Mathematics and Statistics
Number Theory
Ordinary Differential Equations
Probability Theory and Stochastic Processes
46J10
density topology
approximately continuous function
strong algebrability
15A03
26A15
Baire hierarchy
algebrability
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Summary:It is known that the sets of approximately continuous functions that are discontinuous, of Darboux Baire 1 that are not approximately continuous, and of Baire 1 functions that are not Darboux Baire 1 are strongly c -algebrable. We show that between those classes of functions there are c many strongly c -algebrable sets.
ISSN:0363-1672
1573-8825
DOI:10.1007/s10986-015-9287-7