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arxiv: 1203.5840 · v1 · pith:OKG56W32new · submitted 2012-03-26 · 🧮 math.CA

Duality between measure and category in uncountable locally compact abelian Polish groups

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keywords abeliancompactlocallynskipolishuncountableadditionbartoszy
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We show that there is no addition preserving Erd\H{o}s-Sierpi\'nski mapping on any uncountable locally compact abelian Polish group. This generalizes results of Bartoszy\'nski and Kysiak.

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