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arXiv · 1703.01581

Combined Properties of Finite Sums And Finite products near zero

Tanushree Biswas
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Abstract

It was proved that whenever N is partitioned into finitely many cells, one cell must contain arbitrary length geo-arithmetic progressions. It was also proved that arithmetic and geometric progressions can be nicely intertwined in one cell of partition, whenever N is partitioned into finitely many cells. In this article we shall prove that similar types of results also hold near zero in some suitable dense subsemigroup S of ((0; 1) ; +), using the Stone- Cech compactification of ?S.

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Tanushree Biswas. 2017-03-05. Combined Properties of Finite Sums And Finite products near zero. https://arxiv.org/abs/1703.01581

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