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arxiv: 1704.02746 · v1 · pith:TBS3YZOSnew · submitted 2017-04-10 · 🧮 math.DS · math.CO

Szemeredi-type theorems for subsets of locally compact abelian groups of positive upper Banach density

classification 🧮 math.DS math.CO
keywords compactabeliandensitygrouplocallypositivesubsetsupper
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By using ergodic theoretic techniques following Hillel F\"{u}rstenberg, we prove that measurable subsets of a locally compact abelian group of positive upper density contain Szemer\'{e}di-wise configurations defined by an arbitrary compact subset of the group.

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