Skip to content
Licensed Unlicensed Requires Authentication Published by De Gruyter February 23, 2023

On completely non-Baire unions in category bases

  • Sanjib Basu , Atasi Deb Ray and Abhit Chandra Pramanik EMAIL logo

Abstract

In this paper, we show that, under not too restrictive conditions, results much stronger than those obtained earlier by Hejduk can be established in category bases.

Funding statement: The third author thanks the CSIR, New Delhi – 110001, India, for financial support.

Acknowledgements

The authors are thankful to the reviewer for the valuable remark and suggestions for improvement.

References

[1] D. H. Fremlin, Measure-additive coverings and measurable selectors, Dissertationes Math. 260 (1987), 1–116. Search in Google Scholar

[2] J. Hejduk, Non-Baire unions in category bases, Georgian Math. J. 3 (1996), no. 6, 543–546. 10.1007/BF02259982Search in Google Scholar

[3] A. B. Kharazishvili, Elements of the Combinatorial Theory of Infinite Sets (in Russian), Tbilisi State University, Tbilisi, 1981. Search in Google Scholar

[4] J. C. Morgan, II, Point Set Theory, Monogr. Textb. Pure Appl. Math. 131, Marcel Dekker, New York, 1990. Search in Google Scholar

[5] R. Ralowski and S. Å»eberski, Completely nonmeasurable unions, Cent. Eur. J. Math. 8 (2010), no. 4, 683–687. 10.2478/s11533-010-0038-zSearch in Google Scholar

Received: 2022-01-25
Revised: 2022-12-12
Accepted: 2022-12-19
Published Online: 2023-02-23
Published in Print: 2023-06-01

© 2023 Walter de Gruyter GmbH, Berlin/Boston

Downloaded on 25.10.2024 from https://www.degruyter.com/document/doi/10.1515/gmj-2023-2011/html
Scroll to top button