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Algebra i logika, 2004, Volume 43, Number 4, Pages 425–444 (Mi al81)  
This article is cited in 17 scientific papers (total in 17 papers)

Difference Hierarchy in $\varphi$-Spaces

V. L. Selivanov

Novosibirsk State Pedagogical University
Full-text PDF (227 kB) Citations (17)
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Abstract: Some results on the Borel and difference hierarchies of subsets in $\varphi$-spaces are established. For instance, we prove analogs of the Hausdorff theorem (relating the difference and Borel hierarchies) and the Lavrentyev theorem (asserting the non-collapse of the difference hierarchy).
Keywords: $\varphi$-space, Borel hierarchy, difference hierarchy.
Received: 22.04.2003
Revised: 04.02.2004
English version:
Algebra and Logic, 2004, Volume 43, Issue 3, Pages 238–248
DOI: https://doi.org/10.1023/B:ALLO.0000035115.44324.5d
Bibliographic databases:
UDC: 510.532
Language: Russian
Citation: V. L. Selivanov, “Difference Hierarchy in $\varphi$-Spaces”, Algebra Logika, 43:4 (2004), 425–444; Algebra and Logic, 43:3 (2004), 238–248
Citation in format AMSBIB
\Bibitem{Sel04}
\by V.~L.~Selivanov
\paper Difference Hierarchy in $\varphi$-Spaces
\jour Algebra Logika
\yr 2004
\vol 43
\issue 4
\pages 425--444
\mathnet{http://mi.mathnet.ru/al81}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2105847}
\zmath{https://zbmath.org/?q=an:1062.03042}
\transl
\jour Algebra and Logic
\yr 2004
\vol 43
\issue 3
\pages 238--248
\crossref{https://doi.org/10.1023/B:ALLO.0000035115.44324.5d}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-33750048966}
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    • This publication is cited in the following 17 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Алгебра и логика Algebra and Logic
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    Abstract page:466
    Full-text PDF :127
    References:65
    First page:1
     
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