Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports]
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


Sib. Èlektron. Mat. Izv.:
Year:
Volume:
Issue:
Page:
Find




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

Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports], 2022, Volume 19, Issue 2, Pages 815–834
DOI: https://doi.org/10.33048/semi.2022.19.069 (Mi semr1542) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Mathematical logic, algebra and number theory

On function spaces. II

Yu. L. Ershov, M. V. Schwidefsky

Sobolev Institute of Mathematics, Acad. Koptyug ave., 4, 630090, Novosibirsk, Russia
Full-text PDF (453 kB) Citations (1)
References:
PDF
HTML
DOI: https://doi.org/10.33048/semi.2022.19.069
Abstract: For certain properties $\mathfrak{P}$ of topological $T_0$-spaces, we prove that a $T_0$-space $\mathbb{Y}$ has property $\mathfrak{P}$ if and only if the function space $\mathbb{C}_\mathcal{T}(\mathbb{X},\mathbb{Y})$ endowed with a particular topology $\mathcal{T}$ possesses $\mathfrak{P}$ for some $T_0$-space $\mathbb{X}$.
Keywords: $A$-space, core-compact space, $d$-space, essentially complete space, function space, injective space, sober space, $T_0$-space.
Funding agency Grant number
Ministry of Science and Higher Education of the Russian Federation FWNF-2022-0012
The research was carried out in the framework of the state contract of Sobolev Institute of Mathematics, project no. FWNF-2022-0012.
Received February 23, 2022, published November 11, 2022
Bibliographic databases:
Document Type: Article
UDC: 515.122.22
MSC: 54C35, 54D10
Language: English
Citation: Yu. L. Ershov, M. V. Schwidefsky, “On function spaces. II”, Sib. Èlektron. Mat. Izv., 19:2 (2022), 815–834
Citation in format AMSBIB
\Bibitem{ErsSch22}
\by Yu.~L.~Ershov, M.~V.~Schwidefsky
\paper On function spaces.~II
\jour Sib. \`Elektron. Mat. Izv.
\yr 2022
\vol 19
\issue 2
\pages 815--834
\mathnet{http://mi.mathnet.ru/semr1542}
\crossref{https://doi.org/10.33048/semi.2022.19.069}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=4508351}
Linking options:
  • https://www.mathnet.ru/eng/semr1542
  • https://www.mathnet.ru/eng/semr/v19/i2/p815
    Cycle of papers
    • On function spaces
      Yu. L. Ershov, M. V. Schwidefsky
      Sib. Èlektron. Mat. Izv., 2020, 17, 999–1008
    • On function spaces. II
      Yu. L. Ershov, M. V. Schwidefsky
      Sib. Èlektron. Mat. Izv., 2022, 19:2, 815–834
    This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Statistics & downloads:
    Abstract page:150
    Full-text PDF :42
    References:22
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024