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, 2012, Volume 91, Issue 3, Pages 440–458
DOI: https://doi.org/10.4213/mzm8567 (Mi mzm8567) 		 
This article is cited in 3 scientific papers (total in 3 papers)

Completions of Convex Families of Convex Bodies

A. G. Khovanskii

Institute of Systems Analysis, Russian Academy of Sciences
Full-text PDF (535 kB) Citations (3)
References:
PDF
HTML
DOI: https://doi.org/10.4213/mzm8567
Abstract: The paper discusses the existence of a continuous extension of functions that are defined on subsets of $\mathbb R^n$ and whose values are convex bodies in $\mathbb R^n$. This problem arose in convex geometry in connection with the notion, recently introduced in algebraic geometry, of convex Newton–Okounkov bodies.
Keywords: Newton–Okounkov body, convex-valued function, continuity, extension.
Received: 10.06.2009
Revised: 13.07.2011
English version:
Mathematical Notes, 2012, Volume 91, Issue 3, Pages 415–429
DOI: https://doi.org/10.1134/S000143461203011X
Bibliographic databases:
Document Type: Article
UDC: 514.172.4
Language: Russian
Citation: A. G. Khovanskii, “Completions of Convex Families of Convex Bodies”, Mat. Zametki, 91:3 (2012), 440–458; Math. Notes, 91:3 (2012), 415–429
Citation in format AMSBIB
\Bibitem{Kho12}
\by A.~G.~Khovanskii
\paper Completions of Convex Families of Convex Bodies
\jour Mat. Zametki
\yr 2012
\vol 91
\issue 3
\pages 440--458
\mathnet{http://mi.mathnet.ru/mzm8567}
\crossref{https://doi.org/10.4213/mzm8567}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3201440}
\elib{https://elibrary.ru/item.asp?id=20731500}
\transl
\jour Math. Notes
\yr 2012
\vol 91
\issue 3
\pages 415--429
\crossref{https://doi.org/10.1134/S000143461203011X}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000303478900011}
\elib{https://elibrary.ru/item.asp?id=17983958}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84860375893}
Linking options:
  • https://www.mathnet.ru/eng/mzm8567
  • https://doi.org/10.4213/mzm8567
  • https://www.mathnet.ru/eng/mzm/v91/i3/p440
    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математические заметки Mathematical Notes
    Statistics & downloads:
    Abstract page:423
    Full-text PDF :166
    References:33
    First page:36
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024