Vestnik SamGU. Estestvenno-Nauchnaya Ser.
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS



Vestnik SamU. Estestvenno-Nauchnaya Ser.:
Year:
Volume:
Issue:
Page:
Find






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


Vestnik SamGU. Estestvenno-Nauchnaya Ser., 2009, Issue 8(74), Pages 61–66 (Mi vsgu280)  

Mathematics

Reznichenko's example is metalindelöf

O. I. Pavlov

Department of Higher and Applied Mathematics, Academy of Labor and Social Relations, Moscow, 117454, Russia (published under the terms of the Creative Commons Attribution 4.0 International License)
References:
Abstract: We note that a pseudocompact space $X$ that was constructed by E. A. Reznichenko is hereditarily metalindelöf. Moreover, every (hereditarily) metalindelöf space $Y$ can be attached to $X$ (the size of $X$ can vary to accommodate $Y$) so that the resulting space is a (hereditarily) metalindelöf pseudocompact space that contains $Y$ as a closed subset. This example is much simpler than related constructions of a pseudocompact not compact space with a point-countable base that are due to S. Watson and D. B. Shakhmatov or a metalindelöf pseudocompact not compact space that is due to Ian Tree.
Keywords: metalindelöf, pseudocompact, closed embedding.
Received: 19.10.2009
Revised: 19.10.2009
Document Type: Article
UDC: 515.122
Language: Russian
Citation: O. I. Pavlov, “Reznichenko's example is metalindelöf”, Vestnik Samarskogo Gosudarstvennogo Universiteta. Estestvenno-Nauchnaya Seriya, 2009, no. 8(74), 61–66
Citation in format AMSBIB
\Bibitem{Pav09}
\by O.~I.~Pavlov
\paper Reznichenko's example is metalindel\"of
\jour Vestnik Samarskogo Gosudarstvennogo Universiteta. Estestvenno-Nauchnaya Seriya
\yr 2009
\issue 8(74)
\pages 61--66
\mathnet{http://mi.mathnet.ru/vsgu280}
Linking options:
  • https://www.mathnet.ru/eng/vsgu280
  • https://www.mathnet.ru/eng/vsgu/y2009/i8/p61
  • Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Вестник Самарского государственного университета. Естественнонаучная серия
    Statistics & downloads:
    Abstract page:211
    Full-text PDF :78
    References:45
    First page:1
     
      Contact us:
     Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024