Recent progress in subset combinatorics of groups


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We systematize and analyze some results obtained in the subset combinatorics of G groups presented in previous surveys [14]. The main topics: the dynamical and descriptive characterizations of subsets of a group relatively to 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– Čech compactification βG of G, and the combinatorial derivation.

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Igor Protasov

Faculty of Computer Science and Cybernetics, Taras Shevchenko National University of Kyiv

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Email: i.v.protasov@gmail.com
乌克兰, Kyiv

Ksenia Protasova

Faculty of Computer Science and Cybernetics, Taras Shevchenko National University of Kyiv

Email: i.v.protasov@gmail.com
乌克兰, Kyiv

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