Real Analysis Exchange
- Real Anal. Exchange
- Volume 31, Number 1 (2005), 291-294.
A converse to a theorem of Steinhaus
A result of H. Steinhaus states that any Lebesgue measurable set $X\subset R$ with positive Lebesgue measure has a property that its difference set contains an open interval around zero. In this note we will prove a statement, which, in a sense, complements it.
Real Anal. Exchange, Volume 31, Number 1 (2005), 291-294.
First available in Project Euclid: 5 June 2006
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Mospan, Yevgeny V. A converse to a theorem of Steinhaus. Real Anal. Exchange 31 (2005), no. 1, 291--294. https://projecteuclid.org/euclid.rae/1149516816