A theorem of Piccard's type in abelian Polish groups

作者：Jablonska E^*

来源：Analysis Mathematica, 2016, 42(2): 159-164.

DOI：10.1007/s10476-016-0204-z

• Haar meager set
• Haar null set
• Piccard's theorem

In the paper we prove a theorem of Piccard's type which generalizes [9, Theorem 2]. More precisely, we show that in an abelian Polish group X the set [x(1) . . . , x(N)) is an element of X-N : A boolean AND (i=1) (A + x(i)) is not Haar meager in X}
is a neighbourhood of 0 for every N a N and every Borel non-Haar meager set A aS, X. The paper refers to the paper [3].

• 出版日期2016-6