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Izvestiya: Mathematics, 2000, Volume 64, Issue 6, Pages 1091–1127
DOI: https://doi.org/10.1070/im2000v064n06ABEH000310 (Mi im310) 		 
This article is cited in 6 scientific papers (total in 6 papers)

Ramsay problems for spaces with symmetries

T. O. Banakha, Ya. B. Vorobetsb, O. V. Verbitskiia

a Ivan Franko National University of L'viv
b M. V. Lomonosov Moscow State University
English version PDF (412 kB) Citations (6)
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DOI: https://doi.org/10.1070/im2000v064n06ABEH000310
Abstract: For a wide class of spaces endowed with symmetries, the maximum size of a one-colour symmetric set existing under any colouring of the space in a given number of colours is determined. Discrete spaces (finite Abelian groups and initial segments of the positive integers) and continuous algebraic and geometric structures (a closed interval on the real line, figures of revolution, and compact Abelian groups) are investigated.
Received: 13.05.1999
Russian version:
Izvestiya Rossiiskoi Akademii Nauk. Seriya Matematicheskaya, 2000, Volume 64, Issue 6, Pages 3–40
DOI: https://doi.org/10.4213/im310
Bibliographic databases:
MSC: 05A05, 05A17, 05C55, 11B25, 54A25, 15A04
Language: English
Original paper language: Russian
Citation: T. O. Banakh, Ya. B. Vorobets, O. V. Verbitskii, “Ramsay problems for spaces with symmetries”, Izv. RAN. Ser. Mat., 64:6 (2000), 3–40; Izv. Math., 64:6 (2000), 1091–1127
Citation in format AMSBIB
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\issue 6
\pages 3--40
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\jour Izv. Math.
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  • https://www.mathnet.ru/eng/im/v64/i6/p3
    • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Известия Российской академии наук. Серия математическая Izvestiya: Mathematics
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    Abstract page:459
    Russian version PDF:163
    English version PDF:16
    References:74
    First page:1
     
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