Matematicheskie Zametki
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Forthcoming papers
Archive
Impact factor
Guidelines for authors
License agreement
Submit a manuscript

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Mat. Zametki:
Year:
Volume:
Issue:
Page:
Find




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

Matematicheskie Zametki, 2002, Volume 71, Issue 3, Pages 323–333
DOI: https://doi.org/10.4213/mzm349 (Mi mzm349) 		 
This article is cited in 11 scientific papers (total in 11 papers)

On the $P$-Property of Compact Convex Sets

M. V. Balashov

Moscow Institute of Physics and Technology
Full-text PDF (205 kB) Citations (11)
References:
PDF
HTML
DOI: https://doi.org/10.4213/mzm349
Abstract: Compact convex sets with a special property ($P$-property) in a finite-dimensional space are considered. This property ensures a certain regularity of the boundaries of such sets. A fairly complete description of the class of compact convex sets with the $P$-property is given. It is shown that this class is closed with respect to the basic set operations. The application of the $P$-property is exemplified; in particular, it is shown that any generating set has the $P$-property.
Received: 22.11.2000
Revised: 04.10.2001
English version:
Mathematical Notes, 2002, Volume 71, Issue 3, Pages 295–304
DOI: https://doi.org/10.1023/A:1014864822124
Bibliographic databases:
UDC: 517.977.8
Language: Russian
Citation: M. V. Balashov, “On the $P$-Property of Compact Convex Sets”, Mat. Zametki, 71:3 (2002), 323–333; Math. Notes, 71:3 (2002), 295–304
Citation in format AMSBIB
\Bibitem{Bal02}
\by M.~V.~Balashov
\paper On the $P$-Property of Compact Convex Sets
\jour Mat. Zametki
\yr 2002
\vol 71
\issue 3
\pages 323--333
\mathnet{http://mi.mathnet.ru/mzm349}
\crossref{https://doi.org/10.4213/mzm349}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1913604}
\zmath{https://zbmath.org/?q=an:1052.52004}
\elib{https://elibrary.ru/item.asp?id=5025278}
\transl
\jour Math. Notes
\yr 2002
\vol 71
\issue 3
\pages 295--304
\crossref{https://doi.org/10.1023/A:1014864822124}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000175483000001}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-0141848557}
Linking options:
  • https://www.mathnet.ru/eng/mzm349
  • https://doi.org/10.4213/mzm349
  • https://www.mathnet.ru/eng/mzm/v71/i3/p323
    • This publication is cited in the following 11 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математические заметки Mathematical Notes
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024