Recent progress in subset combinatorics of groups
- 作者: Protasov I.V.1, Protasova K.D.1
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隶属关系:
- Faculty of Computer Science and Cybernetics, Taras Shevchenko National University of Kyiv
- 期: 卷 234, 编号 1 (2018)
- 页面: 49-60
- 栏目: Article
- URL: https://journal-vniispk.ru/1072-3374/article/view/241750
- DOI: https://doi.org/10.1007/s10958-018-3980-0
- ID: 241750
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详细
We systematize and analyze some results obtained in the subset combinatorics of G groups presented in previous surveys [1–4]. 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.
作者简介
Igor Protasov
Faculty of Computer Science and Cybernetics, Taras Shevchenko National University of Kyiv
编辑信件的主要联系方式.
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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