We extend Vitali’s procedure to get nonmeasurable sets. Answering a question of Kharazishvili [4], we present a relatively simple argument for passing from singletons to finite sets. Our result is actually much stronger, as it covers even the case of compact choices.

Nonmeasurable Vitali set: variations on theme

Bella A.;Puglisi D.
;
Villani A.
2023-01-01

Abstract

We extend Vitali’s procedure to get nonmeasurable sets. Answering a question of Kharazishvili [4], we present a relatively simple argument for passing from singletons to finite sets. Our result is actually much stronger, as it covers even the case of compact choices.
2023
analitic and coanalitic sets
Lebesgue measure
Vitali set
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.11769/529378
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