On completely non-Baire unions in category bases
-
Sanjib Basu
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. Suche in Google Scholar
[2] J. Hejduk, Non-Baire unions in category bases, Georgian Math. J. 3 (1996), no. 6, 543–546. 10.1007/BF02259982Suche in Google Scholar
[3] A. B. Kharazishvili, Elements of the Combinatorial Theory of Infinite Sets (in Russian), Tbilisi State University, Tbilisi, 1981. Suche in Google Scholar
[4] J. C. Morgan, II, Point Set Theory, Monogr. Textb. Pure Appl. Math. 131, Marcel Dekker, New York, 1990. Suche 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-zSuche in Google Scholar
© 2023 Walter de Gruyter GmbH, Berlin/Boston
Artikel in diesem Heft
- Frontmatter
- The second cohomology spaces of 𝒦(1) with coefficients in the superspace of weighted densities and deformations of the superspace of symbols on S 1|1
- On completely non-Baire unions in category bases
- Square-free values of n 2 + n + 1
- The stability and convergence analysis for singularly perturbed Sobolev problems with Robin type boundary condition
- Sign-changing solutions for parametric Neumann problems with broken symmetry and arbitrary growth
- The triharmonic equation on the Heisenberg group
- On Busemann–Feller extensions of translation invariant density differentiation bases
- Multiplicative bi-skew Jordan triple derivations on prime ∗-algebra
- Nonmeasurable products of absolutely negligible sets in uncountable solvable groups
- The double Fourier transform of non-Lebesgue integrable functions of bounded Hardy–Krause variation
- On the stochastic integral representation of Brownian functionals
- Generalized Bessel matrix functions
- Degenerate time-fractional diffusion equation with initial and initial-boundary conditions
- Some new characterizations of EP elements, partial isometries and strongly EP elements in rings with involution
- 𝐿𝑝(⋅) − 𝐿𝑞(⋅) estimates for convolution operators with singular measures supported on surfaces of half the ambient dimension
- Tilting pairs and Wakamatsu tilting subcategories over triangular matrix algebras
Artikel in diesem Heft
- Frontmatter
- The second cohomology spaces of 𝒦(1) with coefficients in the superspace of weighted densities and deformations of the superspace of symbols on S 1|1
- On completely non-Baire unions in category bases
- Square-free values of n 2 + n + 1
- The stability and convergence analysis for singularly perturbed Sobolev problems with Robin type boundary condition
- Sign-changing solutions for parametric Neumann problems with broken symmetry and arbitrary growth
- The triharmonic equation on the Heisenberg group
- On Busemann–Feller extensions of translation invariant density differentiation bases
- Multiplicative bi-skew Jordan triple derivations on prime ∗-algebra
- Nonmeasurable products of absolutely negligible sets in uncountable solvable groups
- The double Fourier transform of non-Lebesgue integrable functions of bounded Hardy–Krause variation
- On the stochastic integral representation of Brownian functionals
- Generalized Bessel matrix functions
- Degenerate time-fractional diffusion equation with initial and initial-boundary conditions
- Some new characterizations of EP elements, partial isometries and strongly EP elements in rings with involution
- 𝐿𝑝(⋅) − 𝐿𝑞(⋅) estimates for convolution operators with singular measures supported on surfaces of half the ambient dimension
- Tilting pairs and Wakamatsu tilting subcategories over triangular matrix algebras
