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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)
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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
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    • This publication is cited in the following 11 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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