Bernstein sets and $\kappa$-coverings
J. Kraszewski, R. Ralowski, P. Szczepaniak, S. Zeberski
TL;DR
This paper explores $7$-coverings related to Bernstein sets and nonmeasurability, extending previous work and examining various types of coverings in set theory.
Contribution
It introduces new results on $7$-coverings associated with Bernstein sets and compares them with existing findings, broadening understanding of nonmeasurable sets.
Findings
Established connections between $7$-coverings and Bernstein sets
Extended previous results by Muthuvel and Nowik
Analyzed different types of coverings in nonmeasurable set theory
Abstract
In this paper we study a notion of a -covering in connection with Bernstein sets and other types of nonmeasurability. Our results correspond to those obtained by Muthuvel and Nowik. We consider also other types of coverings.
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Taxonomy
TopicsAdvanced Numerical Analysis Techniques · Advanced Topology and Set Theory