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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Published in:Український математичний вісник
Date:2017
Main Authors: Protasov, I.V., Protasova, K.D.
Format: Article
Language:English
Published: Інститут прикладної математики і механіки НАН України 2017
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
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author Protasov, I.V.
Protasova, K.D.
author_facet Protasov, I.V.
Protasova, K.D.
citation_txt 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.
collection DSpace DC
container_title Український математичний вісник
description 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.
first_indexed 2025-12-01T13:33:51Z
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id nasplib_isofts_kiev_ua-123456789-169376
institution Digital Library of Periodicals of National Academy of Sciences of Ukraine
isbn 2010 MSC. 20A05, 20F99, 22A15, 06E15, 06E25
issn 1810-3200
language English
last_indexed 2025-12-01T13:33:51Z
publishDate 2017
publisher Інститут прикладної математики і механіки НАН України
record_format dspace
spelling Protasov, I.V.
Protasova, K.D.
2020-06-11T17:53:39Z
2020-06-11T17:53:39Z
2017
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.
2010 MSC. 20A05, 20F99, 22A15, 06E15, 06E25
1810-3200
https://nasplib.isofts.kiev.ua/handle/123456789/169376
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.
en
Інститут прикладної математики і механіки НАН України
Український математичний вісник
Recent progress in Subset Combinatorics of Groups
Article
published earlier
spellingShingle Recent progress in Subset Combinatorics of Groups
Protasov, I.V.
Protasova, K.D.
title Recent progress in Subset Combinatorics of Groups
title_full Recent progress in Subset Combinatorics of Groups
title_fullStr Recent progress in Subset Combinatorics of Groups
title_full_unstemmed Recent progress in Subset Combinatorics of Groups
title_short Recent progress in Subset Combinatorics of Groups
title_sort recent progress in subset combinatorics of groups
url https://nasplib.isofts.kiev.ua/handle/123456789/169376
work_keys_str_mv AT protasoviv recentprogressinsubsetcombinatoricsofgroups
AT protasovakd recentprogressinsubsetcombinatoricsofgroups