On Summands of Closed Bounded Convex Sets

On Summands of Closed Bounded Convex Sets

In this paper properties of the Minkowski-Pontryagin subtraction of closed bounded convex sets are investigated (see Propositions 1-3) and four criteria for summands of closed bounded convex sets are given (see Theorems 1-4).

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Veröffentlicht in:Zeitschrift für Analysis und ihre Anwendungen 2002-01, Vol.21 (4), p.845-850
Hauptverfasser: Grzybowski, Jerzy, Przybycien, H, Urbanski, R
Format: Artikel
Sprache:eng
Schlagworte:
Convex and discrete geometry
Real functions
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Beschreibung
Zusammenfassung:In this paper properties of the Minkowski-Pontryagin subtraction of closed bounded convex sets are investigated (see Propositions 1-3) and four criteria for summands of closed bounded convex sets are given (see Theorems 1-4).
ISSN:0232-2064
1661-4534
DOI:10.4171/ZAA/1111