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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
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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}
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  • 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
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    References:17
     
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