DUALITY OF CONVEX-BODIES

被引：5

作者：

MOSZYNSKA, M ^{[1
]}

ZUKOWSKI, T ^{[1
]}

机构：

[1] UNIV WARSAW,INST MATH,PL-02097 WARSAW,POLAND

来源：

GEOMETRIAE DEDICATA | 1995年 / 58卷 / 02期

关键词：

18B99; 52A20; 52A99;

D O I：

10.1007/BF01265635

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The paper presents a category theoretical approach to the notion of duality of convex bodies. Using results of I. Barany (Acta Sci. Math. (Szeged) 52 (1988), 93-100), we define and study metric duality *, whose advantage is that congruent convex bodies have congruent duals.

引用

页码：161 / 173

页数：13

共 50 条

[1] CONVEX-BODIES
BERGER, M
[J]. RECHERCHE, 1992, 23 (246): : 992 - 1000
[2] ON REDUCED CONVEX-BODIES
DEKSTER, BV
[J]. ISRAEL JOURNAL OF MATHEMATICS, 1986, 56 (02) : 247 - 256
[3] SHADOWS OF CONVEX-BODIES
BALL, K
[J]. TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1991, 327 (02) : 891 - 901
[4] GHOST CONVEX-BODIES
VOLCIC, A
[J]. BOLLETTINO DELLA UNIONE MATEMATICA ITALIANA, 1985, 4A (02): : 287 - 292
[5] EQUIPARTITION OF CONVEX-BODIES
SCOTT, PR
[J]. BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 1990, 42 (01) : 141 - 144
[6] REGULAR CONVEX-BODIES
FARRAN, HR
ROBERTSON, SA
[J]. JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES, 1994, 49 : 371 - 384
[7] ON COMPLETE CONVEX-BODIES
GROEMER, H
[J]. GEOMETRIAE DEDICATA, 1986, 20 (03) : 319 - 334
[8] APPROXIMATION OF CONVEX-BODIES BY TRIANGLES
LASSAK, M
[J]. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1992, 115 (01) : 207 - 210
[9] ON SEPARATED FAMILIES OF CONVEX-BODIES
BISZTRICZKY, T
[J]. ARCHIV DER MATHEMATIK, 1990, 54 (02) : 193 - 199
[10] APPROXIMATION OF CONVEX-BODIES BY POLYTOPES
SCHNEIDER, R
WIEACKER, JA
[J]. BULLETIN OF THE LONDON MATHEMATICAL SOCIETY, 1981, 13 (MAR) : 149 - 156

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