
2. Notation In what follows, G is an uncountable abelian Polish group and d(·, ·) a compatible, complete, two sided-invariant metric. We write the group operations on G with reference to it being abelian – thus + is the group operation and n · g stands for g + g + · · · (n times) · · ·+ g. 0 is the group identity in G. We will find it convenient to use the notation of an infinite sum. Thus we say that
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