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Algebra i logika, 2011, Volume 50, Number 5, Pages 615–646 (Mi al505)  
This article is cited in 7 scientific papers (total in 7 papers)

Fixed points for the jump operator

V. G. Puzarenkoab

a Novosibirsk State University, Novosibirsk, Russia
b Sobolev Institute of Mathematics, Siberian Branch, Russian Academy of Sciences, Novosibirsk, Russia
Full-text PDF (325 kB) Citations (7)
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Abstract: We construct an example of an admissible set which is a fixed point for the $\Sigma$-jump operator. Also a number of basic properties of fixed points are presented.
Keywords: a KPU-structure, admissible set, constructive representation, recursively saturated structure, $\Sigma$-jump, $\Sigma$-reducibility, $\Sigma$-definability, hereditarily finite superstructures, natural ordinals.
Received: 09.02.2011
Revised: 13.07.2011
English version:
Algebra and Logic, 2011, Volume 50, Issue 5, Pages 418–438
DOI: https://doi.org/10.1007/s10469-011-9153-6
Bibliographic databases:
Document Type: Article
UDC: 510.5
Language: Russian
Citation: V. G. Puzarenko, “Fixed points for the jump operator”, Algebra Logika, 50:5 (2011), 615–646; Algebra and Logic, 50:5 (2011), 418–438
Citation in format AMSBIB
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    • This publication is cited in the following 7 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Алгебра и логика Algebra and Logic
     
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