Approximation by Polyhedral G Chains in Banach Spaces

被引：9
作者：
De Pauw, Thierry [1 ]
机构：
[1] Inst Math Jussieu, Equipe Geomet & Dynam, F-75205 Paris 13, France
来源：
ZEITSCHRIFT FUR ANALYSIS UND IHRE ANWENDUNGEN | 2014年 / 33卷 / 03期
关键词：
Rectifiable chains; polyhedral chains; EXTENSIONS; SETS;
D O I：
10.4171/ZAA/1514
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In a Banach space with the metric approximation property, each compactly supported rectifiable G chain whose boundary is rectifiable as well, is approximatable in the flat norm by a polyhedral G chain of nearly the same normal Hausdorff mass.
引用
收藏
页码：311 / 334
页数：24
相关论文
共 16 条
[1]   Rectifiable sets in metric and Banach spaces [J].
Ambrosio, L ;
Kirchheim, B .
MATHEMATISCHE ANNALEN, 2000, 318 (03) :527-555
[2]  
De Pauw Th., 2013, HOMOLOGY NORMAL CHAI
[3]  
De Pauw T, 2012, AM J MATH, V134, P1
[4]   Charges in middle dimensions [J].
De Pauw, Thierry ;
Moonens, Laurent ;
Pfeffer, Washek F. .
JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES, 2009, 92 (01) :86-112
[5]  
Diestel J., 1977, VECTOR MEASURES
[6]  
Evans LC., 2018, Measure Theory and Fine Properties of Functions
[7]  
Federer H., 1969, GEOMETRIC MEASURE TH
[8]   EXTENSIONS OF LIPSCHITZ-MAPS INTO BANACH-SPACES [J].
JOHNSON, WB ;
LINDENSTRAUSS, J ;
SCHECHTMAN, G .
ISRAEL JOURNAL OF MATHEMATICS, 1986, 54 (02) :129-138
[9]   RECTIFIABLE METRIC-SPACES - LOCAL-STRUCTURE AND REGULARITY OF THE HAUSDORFF MEASURE [J].
KIRCHHEIM, B .
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1994, 121 (01) :113-123
[10]  
Pfeffer W. F., 2012, PURE APPL MATH BOCA
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