Algebra i Analiz
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Algebra i Analiz:
Year:
Volume:
Issue:
Page:
Find




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

Algebra i Analiz, 2023, Volume 35, Issue 3, Pages 52–56 (Mi aa1868)  
Research Papers

All-set-homogeneous spaces

N. D. Lebedevaab, A. M. Petruninc

a Saint Petersburg State University
b St. Petersburg Department of Steklov Mathematical Institute of Russian Academy of Sciences
c Math. Dept. PSU, University Park, PA 16802, USA
Full-text PDF (171 kB) First page
References:
PDF
HTML
Abstract: A metric space is said to be all-set-homogeneous if any isometry between its subsets can be extended to an isometry of the whole space. We give a classification of a certain subclass of all-set-homogeneous length spaces.
Keywords: metric homogeneous spaces, metric foundations of geometry, universal trees, Urysohn universal space, isometry group.
Funding agency Grant number
Russian Foundation for Basic Research 20-01-00070
National Science Foundation DMS-2005279
Ministry of Science and Higher Education of the Russian Federation 075-15-2022-289
Received: 24.09.2022
English version:
St. Petersburg Mathematical Journal, 2024, Volume 35, Issue 3, Pages 473–476
DOI: https://doi.org/10.1090/spmj/1814
Document Type: Article
Language: Russian
Citation: N. D. Lebedeva, A. M. Petrunin, “All-set-homogeneous spaces”, Algebra i Analiz, 35:3 (2023), 52–56; St. Petersburg Math. J., 35:3 (2024), 473–476
Citation in format AMSBIB
\Bibitem{LebPet23}
\by N.~D.~Lebedeva, A.~M.~Petrunin
\paper All-set-homogeneous spaces
\jour Algebra i Analiz
\yr 2023
\vol 35
\issue 3
\pages 52--56
\mathnet{http://mi.mathnet.ru/aa1868}
\transl
\jour St. Petersburg Math. J.
\yr 2024
\vol 35
\issue 3
\pages 473--476
\crossref{https://doi.org/10.1090/spmj/1814}
Linking options:
  • https://www.mathnet.ru/eng/aa1868
  • https://www.mathnet.ru/eng/aa/v35/i3/p52
    • Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Алгебра и анализ St. Petersburg Mathematical Journal
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024