Ural Mathematical Journal
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


Ural Math. J.:
Year:
Volume:
Issue:
Page:
Find




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

Ural Mathematical Journal, 2015, Volume 1, Issue 1, Pages 61–67
DOI: https://doi.org/10.15826/umj.2015.1.006 (Mi umj6) 		 
This article is cited in 2 scientific papers (total in 2 papers)

On the completeness properties of the $C$-compact-open topology on $C(X)$

Alexander V. Osipovab

a N.N. Krasovskii Institute of Mathematics and Mechanics of the Ural Branch of the Russian Academy of Sciences, Ekaterinburg, Russia
b Ural Federal University, Ekaterinburg, Russia
Full-text PDF (158 kB) Citations (2)
References:
PDF
HTML
DOI: https://doi.org/10.15826/umj.2015.1.006
Abstract: This is a study of the completeness properties of the space $C_{rc}(X)$ of continuous real-valued functions on a Tychonoff space $X$, where the function space has the $C$-compact-open topology. Investigate the properties such as completely metrizable, Čech-complete, pseudocomplete and almost Čech-complete.
Keywords: $C$-compact-open topology, Set-open topology, Čech-complete, Baire space, Function space.
Funding agency Grant number
Russian Academy of Sciences - Federal Agency for Scientific Organizations 15-16-1-6
The work was supported by Project 15-16-1-6 comprehensive program of UB RAS.
Bibliographic databases:
Document Type: Article
Language: English
Citation: Alexander V. Osipov, “On the completeness properties of the $C$-compact-open topology on $C(X)$”, Ural Math. J., 1:1 (2015), 61–67
Citation in format AMSBIB
\Bibitem{Osi15}
\by Alexander~V.~Osipov
\paper On the completeness properties of the $C$-compact-open topology on $C(X)$
\jour Ural Math. J.
\yr 2015
\vol 1
\issue 1
\pages 61--67
\mathnet{http://mi.mathnet.ru/umj6}
\crossref{https://doi.org/10.15826/umj.2015.1.006}
\zmath{https://zbmath.org/?q=an:1396.54019}
\elib{https://elibrary.ru/item.asp?id=25613596}
Linking options:
  • https://www.mathnet.ru/eng/umj6
  • https://www.mathnet.ru/eng/umj/v1/i1/p61
    Translation
    This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Ural Mathematical Journal
    Statistics & downloads:
    Abstract page:250
    Full-text PDF :110
    References:50
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024