Abstract
Can a positive function on ℝ have zero Lebesgue integral? It depends on how much choice one has.
Original language | English |
---|---|
Pages (from-to) | 385-390 |
Number of pages | 6 |
Journal | Real Analysis Exchange |
Volume | 42 |
Issue number | 2 |
DOIs | |
State | Published - 2017 |
Bibliographical note
Funding Information:Mathematical Reviews subject classification: Primary: 03E25; Secondary: 28A25 Key words: Lebesgue integral, Zermelo–Fraenkel theory, Feferman–Levy model Received by the editors March 1, 2017 Communicated by: Krzysztof Ciesielski ∗The research for this paper was supported in part by the RFBR grant number 17-01-00705 †The research for this paper was supported by the Israel Science Foundation grant number 1517/12
Keywords
- Feferman-Levy model
- Lebesgue integral
- Zermelo-Fraenkel theory