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], 2018, Volume 15, Pages 214–222
DOI: https://doi.org/10.17377/semi.2018.15.021 (Mi semr912) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Geometry and topology

On piecewise continuous mappings of paracompact spaces

S. V. Medvedevab

a Department of Mathematical Analysis and Methods of Teaching Mathematics, South Ural State University, pr. Lenina, 76, 454080, Chelyabinsk, Russia
b Krasovskii Institute of Mathematics and Mechanics of UB RAS, Russia
Full-text PDF (143 kB) Citations (2)
References:
PDF
HTML
DOI: https://doi.org/10.17377/semi.2018.15.021
Abstract: It is proved that every resolvably measurable mapping $f \colon X \rightarrow Y$ of a first-countable perfectly paracompact space $X$ to a regular space $Y$ is piecewise continuous. If $X$ is additionally completely Baire, then $f$ is resolvably measurable if and only if it is piecewise continuous.
Keywords: resolvably measurable mapping, piecewise continuous mapping, $\mathcal{F}_\sigma$-measurable mapping, completely Baire space.
Funding agency Grant number
Ministry of Education and Science of the Russian Federation 02.A03.21.0011
The work was supported by Act 211 Government of the Russian Federation, contract № 02.A03.21.0011.
Received October 22, 2017, published March 13, 2018
Bibliographic databases:
Document Type: Article
UDC: 515.126
MSC: 54C08, 54E52
Language: English
Citation: S. V. Medvedev, “On piecewise continuous mappings of paracompact spaces”, Sib. Èlektron. Mat. Izv., 15 (2018), 214–222
Citation in format AMSBIB
\Bibitem{Med18}
\by S.~V.~Medvedev
\paper On piecewise continuous mappings of paracompact spaces
\jour Sib. \`Elektron. Mat. Izv.
\yr 2018
\vol 15
\pages 214--222
\mathnet{http://mi.mathnet.ru/semr912}
\crossref{https://doi.org/10.17377/semi.2018.15.021}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000438412200021}
Linking options:
  • https://www.mathnet.ru/eng/semr912
  • https://www.mathnet.ru/eng/semr/v15/p214
    • 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
    Statistics & downloads:
    Abstract page:261
    Full-text PDF :58
    References:46
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024