Mathematics of the USSR-Sbornik
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Forthcoming papers
Archive
Impact factor
Guidelines for authors
License agreement
Submit a manuscript

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS



Mat. Sb.:
Year:
Volume:
Issue:
Page:
Find






Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register


Mathematics of the USSR-Sbornik, 1976, Volume 30, Issue 3, Pages 321–340
DOI: https://doi.org/10.1070/SM1976v030n03ABEH002277
(Mi sm2904)
 

This article is cited in 11 scientific papers (total in 11 papers)

On some properties of the Medvedev lattice

E. Z. Dyment
References:
Abstract: This article investigates the structure of the lattice of degrees of difficulty, introduced by Medvedev. In particular, an answer is given to Rogers' question: Is being a degree of solvability a lattice-theoretic property? It is proved that for every degree except the smallest, the smallest nonrecursive, and the largest degrees, there exists a degree not comparable with it. Also analyzed are conditions under which there are no degrees lying strictly between two given degrees. The final consideration is a topological approach to certain questions about the structure of the Medvedev lattice.
Bibliography: 2 titles.
Received: 21.04.1975
Bibliographic databases:
UDC: 517.11+518.6
MSC: Primary 02F29, 02F30, 02F40, 06A20; Secondary 02F20, 02F25, 54C50
Language: English
Original paper language: Russian
Citation: E. Z. Dyment, “On some properties of the Medvedev lattice”, Math. USSR-Sb., 30:3 (1976), 321–340
Citation in format AMSBIB
\Bibitem{Dym76}
\by E.~Z.~Dyment
\paper On some properties of the Medvedev lattice
\jour Math. USSR-Sb.
\yr 1976
\vol 30
\issue 3
\pages 321--340
\mathnet{http://mi.mathnet.ru//eng/sm2904}
\crossref{https://doi.org/10.1070/SM1976v030n03ABEH002277}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=432433}
\zmath{https://zbmath.org/?q=an:0353.02019}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1976FN58700004}
Linking options:
  • https://www.mathnet.ru/eng/sm2904
  • https://doi.org/10.1070/SM1976v030n03ABEH002277
  • https://www.mathnet.ru/eng/sm/v143/i3/p360
  • This publication is cited in the following 11 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Математический сборник (новая серия) - 1964–1988 Sbornik: Mathematics
     
      Contact us:
     Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024