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Sbornik: Mathematics, 2008, Volume 199, Issue 10, Pages 1459–1479
DOI: https://doi.org/10.1070/SM2008v199n10ABEH003968 (Mi sm3956) 		 
This article is cited in 12 scientific papers (total in 12 papers)

Dual theorems on central points and their generalizations

R. N. Karasev

Moscow Institute of Physics and Technology
English version PDF (332 kB) Citations (12)
References:
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DOI: https://doi.org/10.1070/SM2008v199n10ABEH003968
Abstract: Analogues of theorems on a central point, a central transversal and also of Tverberg's theorem are proved in the context when arrangements of hyperplanes or planes of fixed dimension are considered in place of point sets.
Bibliography: 20 titles.
Keywords: center point theorem, Tverberg's theorem, Brower's fixed point theorem.
Received: 15.10.2007 and 04.03.2008
Russian version:
Matematicheskii Sbornik, 2008, Volume 199, Number 10, Pages 41–62
DOI: https://doi.org/10.4213/sm3956
Bibliographic databases:
UDC: 514.174
MSC: Primary 52A37; Secondary 55R10
Language: English
Original paper language: Russian
Citation: R. N. Karasev, “Dual theorems on central points and their generalizations”, Mat. Sb., 199:10 (2008), 41–62; Sb. Math., 199:10 (2008), 1459–1479
Citation in format AMSBIB
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  • https://www.mathnet.ru/eng/sm/v199/i10/p41
    • This publication is cited in the following 12 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Математический сборник Sbornik: Mathematics
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    Abstract page:622
    Russian version PDF:227
    English version PDF:14
    References:74
    First page:7
     
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