Mathematics of the USSR-Izvestiya
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Forthcoming papers
Archive
Impact factor
Guidelines for authors
Submit a manuscript

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Izv. RAN. Ser. Mat.:
Year:
Volume:
Issue:
Page:
Find




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

Mathematics of the USSR-Izvestiya, 1980, Volume 14, Issue 2, Pages 407–440
DOI: https://doi.org/10.1070/IM1980v014n02ABEH001124 (Mi im1721) 		 
This article is cited in 43 scientific papers (total in 43 papers)

On $\varkappa$-metrizable space

E. V. Shchepin
English version PDF (1660 kB) Citations (43) Russian version article
References:
PDF
HTML
DOI: https://doi.org/10.1070/IM1980v014n02ABEH001124
Abstract: In this paper the author studies spaces in which one can define a “distance” from points to canonically closed sets (the $\varkappa$-metric). It is proved that products of metric spaces and locally compact groups are examples of such spaces, and in these cases the $\varkappa$-metric can be constructed so that an analogue of the triangle axiom is satisfied. The topological structure of $\varkappa$-metrizable compact Hausdorff spaces is studied.
Bibliography: 26 titles.
Received: 02.06.1978
Bibliographic databases:
Document Type: Article
UDC: 513.83
MSC: Primary 54D15, 54E35, 54E99; Secondary 28C10, 54A25, 54F05, 54B20, 54B35
Language: English
Original paper language: Russian
Citation: E. V. Shchepin, “On $\varkappa$-metrizable space”, Math. USSR-Izv., 14:2 (1980), 407–440
Citation in format AMSBIB
\Bibitem{Shc79}
\by E.~V.~Shchepin
\paper On~$\varkappa$-metrizable space
\jour Math. USSR-Izv.
\yr 1980
\vol 14
\issue 2
\pages 407--440
\mathnet{http://mi.mathnet.ru//eng/im1721}
\crossref{https://doi.org/10.1070/IM1980v014n02ABEH001124}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=534603}
\zmath{https://zbmath.org/?q=an:0436.54024|0409.54040}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1980KM96800012}
Linking options:
  • https://www.mathnet.ru/eng/im1721
  • https://doi.org/10.1070/IM1980v014n02ABEH001124
  • https://www.mathnet.ru/eng/im/v43/i2/p442
    • This publication is cited in the following 43 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Известия Академии наук СССР. Серия математическая Izvestiya: Mathematics
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024