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Sibirskii Matematicheskii Zhurnal, 2009, Volume 50, Number 2, Pages 356–379 (Mi smj1965)  
This article is cited in 8 scientific papers (total in 9 papers)

Definable functions in the $\aleph_0$-categorical weakly circularly minimal structures

B. Sh. Kulpeshov

Institute for Problems of Informatics and Control Sciences, Almaty, Kazhakhstan
Full-text PDF (418 kB) Citations (9)
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Abstract: We continue studying the analogs of o-minimality and weak o-minimality for circularly ordered sets. We present a complete characterization of the behavior of unary definable functions in an $\aleph_0$-categorical 1-transitive weakly circularly minimal structure. Using it, we describe the $\aleph_0$-categorical 1-transitive nonprimitive weakly circularly minimal structures of convexity rank greater than 1 up to binarity.
Keywords: circularly ordered set, weak circular minimality, $\aleph_0$-categoricity, convexity rank.
Received: 06.09.2007
English version:
Siberian Mathematical Journal, 2009, Volume 50, Issue 2, Pages 282–301
DOI: https://doi.org/10.1007/s11202-009-0034-3
Bibliographic databases:
UDC: 510.67
Language: Russian
Citation: B. Sh. Kulpeshov, “Definable functions in the $\aleph_0$-categorical weakly circularly minimal structures”, Sibirsk. Mat. Zh., 50:2 (2009), 356–379; Siberian Math. J., 50:2 (2009), 282–301
Citation in format AMSBIB
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\pages 356--379
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    • This publication is cited in the following 9 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Сибирский математический журнал Siberian Mathematical Journal
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