Matematicheskie Zametki
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. Zametki:
Year:
Volume:
Issue:
Page:
Find




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

Matematicheskie Zametki, 2023, Volume 113, Issue 6, Pages 807–819
DOI: https://doi.org/10.4213/mzm13854 (Mi mzm13854) 		 
Semigroups of Relatively Continuous Binary Relations and Their Isomorphisms

V. I. Varankina, E.M. Vechtomov

Vyatka State University
Full-text PDF (519 kB)
References:
PDF
HTML
DOI: https://doi.org/10.4213/mzm13854
Abstract: All isomorphisms between semigroups of relatively continuous binary relations defined on arbitrary topological spaces are described. As a corollary, the absolute definability of any nontrivial topological space by the semigroup of all of its relatively continuous binary relations is proved.
Keywords: binary relation, topological space, semigroup of relatively continuous binary relations, isomorphism of semigroups, induced isomorphism, absolute definability.
Received: 19.12.2022
Published: 01.06.2023
English version:
Mathematical Notes, 2023, Volume 113, Issue 6, Pages 760–769
DOI: https://doi.org/10.1134/S0001434623050176
Bibliographic databases:
Document Type: Article
UDC: 511.32+512.556
Language: Russian
Citation: V. I. Varankina, E.M. Vechtomov, “Semigroups of Relatively Continuous Binary Relations and Their Isomorphisms”, Mat. Zametki, 113:6 (2023), 807–819; Math. Notes, 113:6 (2023), 760–769
Citation in format AMSBIB
\Bibitem{VarVec23}
\by V.~I.~Varankina, E.M.~Vechtomov
\paper Semigroups of Relatively Continuous Binary Relations
and Their Isomorphisms
\jour Mat. Zametki
\yr 2023
\vol 113
\issue 6
\pages 807--819
\mathnet{http://mi.mathnet.ru/mzm13854}
\crossref{https://doi.org/10.4213/mzm13854}
\mathscinet{https://mathscinet.ams.org/mathscinet-getitem?mr=4602439}
\transl
\jour Math. Notes
\yr 2023
\vol 113
\issue 6
\pages 760--769
\crossref{https://doi.org/10.1134/S0001434623050176}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85163208265}
Linking options:
  • https://www.mathnet.ru/eng/mzm13854
  • https://doi.org/10.4213/mzm13854
  • https://www.mathnet.ru/eng/mzm/v113/i6/p807
    • Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математические заметки Mathematical Notes
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2025