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arXiv · 1802.04106

Recent progress in subset combinatorics of groups

Igor Protasov·Ksenia Protasova
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Abstract

We systematize and analyze some results obtained in Subset Combinatorics of $G$ groups after publications the previous surveys [1-4]. The main topics: the dynamical and descriptive characterizations of subsets of a group relatively their combinatorial size, Ramsey-product subsets in connection with some general concept of recurrence in $G$-spaces, new ideals in the Boolean algebra $\mathcal{P}_{G}$ of all subsets of a group $G$ and in the Stone-$\check{C}$ech compactification $βG$ of $G$ , the combinatorial derivation.

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Igor Protasov, Ksenia Protasova. 2018-02-09. Recent progress in subset combinatorics of groups. https://arxiv.org/abs/1802.04106

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