On strong algebrability of families of non-measurable functions of two variables-Reference-Cited by-同舟云学术

On strong algebrability of families of non-measurable functions of two variables

Published:2024-04-25 Issue:3 Volume:118 Page:
ISSN:1578-7303
Container-title:Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas
language:en
Short-container-title:Rev. Real Acad. Cienc. Exactas Fis. Nat. Ser. A-Mat.

Author:

Głąb Szymon^ORCID,Lichman Mateusz^ORCID,Pawlikowski Michał

Abstract

AbstractRecently Tomasz Natkaniec in (Natkaniec in Rev R Acad Cenc Exactas Fís Nat Ser A Mat RACSAM, 115(1):10, 2021) studied the lineability problem for several classes of non-measurable functions in two variables. In this note we improve his results in the direction of algebrability. In particular, we show that most of the classes considered by Natkaniec contain free algebras with

$$2^\mathfrak c$$

2 c many generators.

Publisher

Springer Science and Business Media LLC

Link

https://link.springer.com/content/pdf/10.1007/s13398-024-01601-3.pdf

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