Recent progress in Subset Combinatorics of Groups
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 so...
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| Date: | 2017 |
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| Main Authors: | , |
| Format: | Article |
| Language: | English |
| Published: |
Інститут прикладної математики і механіки НАН України
2017
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| Series: | Український математичний вісник |
| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/169376 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | Recent progress in Subset Combinatorics of Groups / I.V. Protasov, K.D. Protasova // Український математичний вісник. — 2017. — Т. 14, № 4. — С. 532-547. — Бібліогр.: 28 назв. — англ. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| Summary: | 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 PG of all subsets of a group G and in the Stone-Cech compactification βG of G, the combinatorial derivation. |
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