Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory
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Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory, 2018, Volume 157, Pages 70–105 (Mi into408)  
This article is cited in 3 scientific papers (total in 3 papers)

Computable linear orders and limitwise monotonic functions

M. V. Zubkov, A. N. Frolov

Kazan (Volga Region) Federal University
Full-text PDF (476 kB) Citations (3)
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Abstract: In this paper, we describe the technique of extremely monotonic functions in the theory of computable linear orders. The main definitions of extremely monotonic functions and their generalizations are given, as well as a number of their basic properties and applications.
Keywords: computable linear orders, limitwise monotonic functions, effective presentations, low degrees, self-embeddings, automorphisms.
Funding agency Grant number
Ministry of Education and Science of the Russian Federation 1.1515.2017/4.6
Russian Foundation for Basic Research 15-01-08252
This work was partially supported by the Ministry of Education and Science of the Russian Federation (project No. 1.1515.2017/4.6, M. V. Zubkov) and the Russian Foundation for Basic Research (project No. 15-01-08252, A. N. Frolov).
English version:
Journal of Mathematical Sciences (New York), 2021, Volume 256, Issue 1, Pages 61–95
DOI: https://doi.org/10.1007/s10958-021-05421-3
Bibliographic databases:
Document Type: Article
UDC: 510.5, 512.565.2
MSC: 03D45, 03C57
Language: Russian
Citation: M. V. Zubkov, A. N. Frolov, “Computable linear orders and limitwise monotonic functions”, Proceedings of the Seminar on Algebra and Mathematical Logic of the Kazan (Volga Region) Federal University, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 157, VINITI, Moscow, 2018, 70–105; J. Math. Sci. (N. Y.), 256:1 (2021), 61–95
Citation in format AMSBIB
\Bibitem{ZubFro18}
\by M.~V.~Zubkov, A.~N.~Frolov
\paper Computable linear orders and limitwise monotonic functions
\inbook Proceedings of the Seminar on Algebra and Mathematical Logic of the Kazan (Volga Region) Federal University
\serial Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz.
\yr 2018
\vol 157
\pages 70--105
\publ VINITI
\publaddr Moscow
\mathnet{http://mi.mathnet.ru/into408}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3940084}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2021
\vol 256
\issue 1
\pages 61--95
\crossref{https://doi.org/10.1007/s10958-021-05421-3}
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    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory
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    Full-text PDF :123
    References:15
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